Algebra/Unit 4 Quiz 2/Objective 7
Rewrite Intercept Form 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Rewrite«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»in«/mi»«mo»§#160;«/mo»«mi»intercept«/mi»«mo»§#160;«/mo»«mi»form«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»Then«/mi»«mo»§#160;«/mo»«mi»state«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»zeros«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»function«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»after«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mi»part«/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»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»c«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»]]>
4.0000000
0.3333333
0
0
f(x)=#a(x+#m)(x-#n)x=#xx=#y]]>
f(x)=#a(x+#m)(x-#n)x=#yx=#x]]>
f(x)=#a(x-#n)(x+#m)x=#xx=#y]]>
f(x)=#a(x-#n)(x+#m)x=#yx=#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"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</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>g</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>a</mi><mo>=</mo><mi>d</mi><mo>*</mo><mi>f</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>e</mi><mo>*</mo><mi>f</mi><mo>></mo><mi>d</mi><mo>*</mo><mi>g</mi></mrow><mtable><mtr><mtd><mi>b</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>(</mo><mi>d</mi><mo>*</mo><mi>g</mi><mo>)</mo><mo>+</mo><mi>e</mi><mo>*</mo><mi>f</mi></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>e</mi><mo>*</mo><mi>g</mi></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>e</mi><mo>/</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>g</mi><mo>/</mo><mi>f</mi></mtd></mtr><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>(</mo><mi>e</mi><mo>/</mo><mi>d</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mi>g</mi><mo>/</mo><mi>f</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>b</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>(</mo><mi>e</mi><mo>*</mo><mi>f</mi><mo>)</mo><mo>+</mo><mo>(</mo><mi>d</mi><mo>*</mo><mi>g</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>e</mi><mo>*</mo><mi>g</mi></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>g</mi><mo>/</mo><mi>f</mi></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>e</mi><mo>/</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>x</mi><mo>=</mo><mo>(</mo><mi>e</mi><mo>/</mo><mi>d</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>(</mo><mi>g</mi><mo>/</mo><mi>f</mi><mo>)</mo></mtd></mtr></mtable></apply></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>a</mi><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>m</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>n</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>y</mi></math>]]></correctAnswer><correctAnswer id="1" 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>a</mi><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>m</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>n</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>y</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi></math>]]></correctAnswer><correctAnswer id="2" 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>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>n</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>m</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>y</mi></math>]]></correctAnswer><correctAnswer id="3" 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>a</mi><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>n</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>m</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>y</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>x</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><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="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">3/4 1/8 1/8</data><data name="casSession"/></localData></question>