Algebra/Unit 4 Quiz 1/Objective 1-2 a Up or Down Intercept 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§lt;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo».«/mo»«/math»

]]> The parabola opens down (a frown).

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Up or Down Intercept 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> The parabola opens down (a frown).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#62;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo».«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Up or Down Intercept 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§lt;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo».«/mo»«/math»

]]> The parabola opens down (a frown).

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Up or Down Intercept 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> The parabola opens down (a frown).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#62;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo».«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Up or Down Standard 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x+«/mtext»«mo»#«/mo»«mi»c«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> The parabola opens down (a frown).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mo»§#62;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo».«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Up or Down Standard 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§lt;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo».«/mo»«/math».

]]> The parabola opens down (a frown).

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Up or Down Standard 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»c«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> The parabola opens down (a frown).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mo»§#62;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo».«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Up or Down Standard 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»c«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§lt;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo».«/mo»«/math».

]]> The parabola opens down (a frown).

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Up or Down Vertex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§lt;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo».«/mo»«/math»

]]> The parabola opens down (a frown).

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Up or Down Vertex 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> The parabola opens down (a frown).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#62;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo».«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Up or Down Vertex 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§lt;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo».«/mo»«/math»

]]> The parabola opens down (a frown).

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Up or Down Vertex 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Does«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo»§#160;«/mo»«mi»or«/mi»«mo»§#160;«/mo»«mi»open«/mi»«mo»§#160;«/mo»«mi»down«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 1.0000000 0.3333333 0 true true abc Your answer is correct.

]]> Your answer is partially correct.

]]> Your answer is incorrect.

]]> The parabola opens up (a smile).

]]> The parabola opens down (a frown).

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Since«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»§#62;«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»(«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»=«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»a«/mi»«mo»)«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»parabola«/mi»«mo»§#160;«/mo»«mi»opens«/mi»«mo»§#160;«/mo»«mi»up«/mi»«mo».«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Algebra/Unit 4 Quiz 1/Objective 1-2 b Axis of Symmetry Intercept 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»axis«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»symmetry«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x]]> #x Forgot the x =

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>p</mi><mo>+</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi></math>]]></correctAnswer><correctAnswer id="1">-#h</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer><correctAnswer id="4"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Axis of Symmetry Intercept 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»axis«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»symmetry«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x]]> #x Forgot the x =

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>p</mi><mo>-</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi></math>]]></correctAnswer><correctAnswer id="1">#x</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer><correctAnswer id="4"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Axis of Symmetry Standard 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»axis«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»symmetry«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»-«/mo»«mo»#«/mo»«mi»c«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x]]> #x Forgot the x =

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi></math>]]></correctAnswer><correctAnswer id="1">#x</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Axis of Symmetry Standard 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»axis«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»symmetry«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»b«/mi»«mtext»x+«/mtext»«mo»#«/mo»«mi»c«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 x=#x]]> #x Forgot the x =

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi></math>]]></correctAnswer><correctAnswer id="1">#x</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Axis of Symmetry Vertex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»axis«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»symmetry«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 x=#h]]> #h Forgot the x =

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>h</mi></math>]]></correctAnswer><correctAnswer id="1">#x</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Axis of Symmetry Vertex 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»equation«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»axis«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»symmetry«/mi»«mo»§#160;«/mo»«mi»for«/mi»«mo»§#160;«/mo»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»?«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 x=-#h]]> -#h Forgot the x =

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>h</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mo>#</mo><mi>h</mi></math>]]></correctAnswer><correctAnswer id="1">-#h</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer><correctAnswer id="4"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Algebra/Unit 4 Quiz 1/Objective 1-2 c Minimum or Maximum Intercept 1 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»p«/mi»«mo»+«/mo»«mi»q«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/math» to begin finding the max/min and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mi>p</mi><mo>+</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Intercept 2 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»p«/mi»«mo»+«/mo»«mi»q«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/math» to begin finding the max/min and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mi>p</mi><mo>+</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Intercept 3 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»p«/mi»«mo»+«/mo»«mi»q«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/math» to begin finding the max/min and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>p</mi><mo>-</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>+</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Intercept 4 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»p«/mi»«mo»+«/mo»«mi»q«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/math» to begin finding the max/min and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mi>p</mi><mo>-</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Standard 1 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/math» to help begin finding the min/max and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Standard 2 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/math» to help begin finding the min/max and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Standard 3 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»c«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/math» to help begin finding the min/max and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Standard 4 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»c«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

Use «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/math» to help begin finding the min/max and then find the y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Vertex 1 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Vertex 2 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><mo>-</mo><mi>k</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Minimum or Maximum Vertex 3 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><mo>-</mo><mi>k</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Minimum or Maximum Vertex 4 The quadratic

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

has a {#1} which is {#2}

]]> If a > 0, then there is a minimum y-value.

If a <0, then there is a maximum y-value.

]]> 2.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><mo>-</mo><mi>k</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"></data></localData></question> Algebra/Unit 4 Quiz 1/Objective 1a Vertex 1 Standard 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> #sol Include ( ) for ordered pairs.

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question> Vertex 1 Standard 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> #w,#z]]> Include ( ) for ordered pairs.

]]> (#x,#y Don't forget both ( )

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>w</mi><mo>,</mo><mo>#</mo><mi>z</mi></math>]]></correctAnswer><correctAnswer id="2">(#x,#y</correctAnswer><correctAnswer id="3"></correctAnswer><correctAnswer id="4"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 1 Standard 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> #sol Include ( ) for ordered pairs.

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b</mi></mrow><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer><correctAnswer id="3"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 1 Standard 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mtext»x«/mtext»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x«/mtext»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> #w,#z]]> Include ( ) for ordered pairs.

]]> (#x,#y Don't forget both ( )

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>2</mn><mo>*</mo><mi>a</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>b</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>w</mi><mo>,</mo><mo>#</mo><mi>z</mi></math>]]></correctAnswer><correctAnswer id="2">(#x,#y</correctAnswer><correctAnswer id="3"></correctAnswer><correctAnswer id="4"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Algebra/Unit 4 Quiz 1/Objective 2a Vertex 2 Vertex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>h</mi><mo>,</mo><mi>k</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 2 Vertex 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>h</mi><mo>,</mo><mo>-</mo><mi>k</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 2 Vertex 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>h</mi><mo>,</mo><mi>k</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 2 Vertex 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»#«/mo»«mi»k«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>h</mi><mo>,</mo><mo>-</mo><mi>k</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Algebra/Unit 4 Quiz 1/Objective 2b Vertex 3 Intercept 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mi>p</mi><mo>+</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>q</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 3 Intercept 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mi>p</mi><mo>-</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>q</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 3 Intercept 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>p</mi><mo>+</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>+</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>q</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Vertex 3 Intercept 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»What«/mi»«mo»§#160;«/mo»«mi»is«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»vertex«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»an«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pair«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 (#sol)]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>p</mi><mo>-</mo><mi>q</mi></mrow><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mi>a</mi><mo>(</mo><mi>x</mi><mo>+</mo><mi>p</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mi>q</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Algebra/Unit 4 Quiz 1/Objective 2c x-intercepts 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»intercepts«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x-intercept 1 = (#x)x-intercept 2 = (#y)]]> x-intercept 1 = (#y)x-intercept 2 = (#x)]]> x-intercept 1 = (#g)x-intercept 2 = (#h)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> x-intercept 1 = (#h)x-intercept 2 = (#g)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>(</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>(</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="4"></correctAnswer><correctAnswer id="5"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="check_simplified" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> x-intercepts 2 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»intercepts«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x-intercept 1 = (#x)x-intercept 2 = (#y)]]> x-intercept 1 = (#y)x-intercept 2 = (#x)]]> x-intercept 1 = (#g)x-intercept 2 = (#h)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> x-intercept 1 = (#h)x-intercept 2 = (#g)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>(</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mo>(</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="4"></correctAnswer><correctAnswer id="5"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="check_simplified" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> x-intercepts 3 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»intercepts«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x-intercept 1 = (#x)x-intercept 2 = (#y)]]> x-intercept 1 = (#y)x-intercept 2 = (#x)]]> x-intercept 1 = (#g)x-intercept 2 = (#h)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> x-intercept 1 = (#h)x-intercept 2 = (#g)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>(</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mo>(</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="4"></correctAnswer><correctAnswer id="5"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="check_simplified" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> x-intercepts 4 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»State«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»-«/mo»«mi»intercepts«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»Write«/mi»«mo»§#160;«/mo»«mi»your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»as«/mi»«mo»§#160;«/mo»«mi»ordered«/mi»«mo»§#160;«/mo»«mi»pairs«/mi»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 x-intercept 1 = (#x)x-intercept 2 = (#y)]]> x-intercept 1 = (#y)x-intercept 2 = (#x)]]> x-intercept 1 = (#g)x-intercept 2 = (#h)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> x-intercept 1 = (#h)x-intercept 2 = (#g)]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Y«/mi»«mi»o«/mi»«mi»u«/mi»«mo»§#160;«/mo»«mi»h«/mi»«mi»a«/mi»«mi»v«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»p«/mi»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»t«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»i«/mi»«mi»g«/mi»«mi»n«/mi»«mi»s«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»T«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»r«/mi»«mi»r«/mi»«mi»e«/mi»«mi»c«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»-«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»p«/mi»«mi»t«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»r«/mi»«mi»e«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»y«/mi»«mo»)«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>4</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mo>(</mo><mi>p</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mo>(</mo><mi>q</mi><mo>,</mo><mn>0</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>y</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>x</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>1</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>h</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>-</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi>t</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi>p</mi><mi>t</mi><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mo>#</mo><mi>g</mi><mo>)</mo></math>]]></correctAnswer><correctAnswer id="4"></correctAnswer><correctAnswer id="5"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="check_simplified" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Algebra/Unit 4 Quiz 1/Objective 2d Converting to Standard Intercept 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Convert«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»standard«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»p«/mi»«mo»)«/mo»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»q«/mi»«mo»)«/mo»«/math»

]]> 3.0000000 0.3333333 0 0 f(x)=#sol]]> #sol «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»F«/mi»«mi»o«/mi»«mi»r«/mi»«mi»g«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>q</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>p</mi><mo>≠</mo><mi>q</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mo>(</mo><mi>p</mi><mo>+</mo><mi>q</mi><mo>)</mo><mi>x</mi><mo>+</mo><mi>p</mi><mo>*</mo><mi>q</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1">#sol</correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified" correctAnswer="1"/><assertion name="check_expanded"/><assertion name="check_expanded" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Converting to Standard Vertex 1 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Convert«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»following«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»to«/mi»«mo»§#160;«/mo»«mi»standard«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«mo»(«/mo»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»h«/mi»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»k«/mi»«/math»

]]> 3.0000000 0.3333333 0 0 f(x)=#sol]]> #sol «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»F«/mi»«mi»o«/mi»«mi»r«/mi»«mi»g«/mi»«mi»o«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»=«/mo»«/math»

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>3</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>15</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>h</mi><msup><mo>)</mo><mn>2</mn></msup><mo>+</mo><mi>k</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_expanded"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_expanded" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">true</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>