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<i><font face="times new roman,times,serif" size="4"> </font></i> <p><i><font face="times new roman,times,serif" size="4">Sea <span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»#x11«/mi»«mo»)«/mo»«mo»=«/mo»«mi»a«/mi»«msup»«mi»#x11«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»#x11«/mi»«mo»+«/mo»«mi»c«/mi»«/math»</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span> cuyo gráfico es:</font></i></p><i><font face="times new roman,times,serif" size="4"> </font></i> <p align="center"><i><font face="times new roman,times,serif" size="4">#graf </font></i></p><i><font face="times new roman,times,serif" size="4"> </font></i> <p align="left"><i><font face="times new roman,times,serif" size="4">Determine cuáles de las siguientes afirmaciones son verdaderas.</font></i></p><i><font face="times new roman,times,serif" size="4"> </font></i>
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<i><font face="times new roman,times,serif" size="4"></font></i><i><font face="times new roman,times,serif" size="4">Solución:</font></i><i><font face="times new roman,times,serif" size="4"> </font></i> <p><i><font face="times new roman,times,serif" size="4">En esta pregunta nos piden relacionar las características de la gráfica con los parámetros de la función cuadrática. <br /></font></i></p> <p><i><font face="times new roman,times,serif" size="4">Los parámetros requeridos son <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«/math»</span>, <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»c«/mi»«/math»</span> y <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«/math»</span>, los cuales están relacionados específicamente con la concavidad, la intersección con el eje <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span> y con la intersección con el eje <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span>.</font></i></p> <p><i><font face="times new roman,times,serif" size="4"><u><font size="4">Concavidad:</font></u><font size="4"> recordemos que la concavidad de una paráb<font size="4">ola está relacionada con el coeficiente (número) que multiplica<font size="4"> a la variable al cuadrado (</font></font></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#x11«/mi»«/math»</span>)</font></font></font></font></i><font size="4">, es<font size="4"> decir, con </font></font></font></font></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«/math»</span></font></i></font></font>. <br /></font></font></font></font></i></p> <p><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4">Específicamente, dada <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«/math»</span>:</font></font></font></font></i></p> <blockquote> <p><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4">Si <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«/math»</span> es <font size="4">positi<font size="4">vo, entonces <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«/math»</span> es cóncava (se abre hacia arriba)</font></font></font></font></font></font></font></i></p> <p><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4">Si <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»a«/mi»«/math»</span> es negativo,<font size="4"><font size="4"> entonces <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«/math»</span> es convexa (se abre hacia abajo)</font></font></font></font></font></font></font></i></p><i><font face="times new roman,times,serif" size="4"> </font></i></blockquote> <i><font face="times new roman,times,serif" size="4">En este caso, como el gráfico muestra que la parábola se abre hacia #texto1, podemos concluir que #opa.</font></i><br /><br /><i><font face="times new roman,times,serif" size="4"><u>Intersecció<font size="4">n con el eje <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></font></u>: recordemos que la inter<font size="4">sección con el eje </font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><u><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></font></u><font size="4"><font size="4">está relacionada con el coeficiente libre<font size="4">, es decir, con </font></font></font></font></i></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»c«/mi»«/math»</span><font size="4">. <br />Específicamente, dada </font></font></i></font></font></font></i></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«/math»</span><font size="4"><font size="4">, el punto <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mn»0«/mn»«mo»,«/mo»«mi»c«/mi»«/mrow»«/mfenced»«/math»</span> es la intersección entre </font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«/math»</span> y el e<font size="4">je </font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><u><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></font></u><font size="4"><font size="4">.</font></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i><i><br /><font face="times new roman,times,serif" size="4">Como en este caso la intersección con el eje </font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><u><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></font></u> es el punto rojo que se marca en el<font size="4"> siguiente gráfico:<br /></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i> <div align="center"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4">#graf2</font></font></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i><br /> <div align="left"><i><font face="times new roman,times,serif" size="4"><br /><font size="4">C</font>uya coordenada </font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><u><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></font></u><font size="4"> <font size="4">es</font> #texto4<font size="4">. <font size="4">Entonces, p</font></font>odemos concluir que #opc.<br /><br /><u>Intersección con el eje <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span></u>: <font size="4">recorde<font size="4">mos que <font size="4">el o los puntos de</font> intersección de una función <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«/math»</span> con el eje <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span> depende <font size="4">de la solución de la ecuación <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«/math»</span>. En el caso de una función cuadrática d<font size="4">e la forma </font></font></font></font></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«/math»</span>, la existencia y cantidad de s<font size="4">oluci<font size="4">ones depen<font size="4">d<font size="4">en del discriminante, específicamente:<br /></font></font></font></font></font></font></font></font></i> <blockquote><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4">Si <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«mo»§gt;«/mo»«mn»0«/mn»«/math»</span> la función intersecta en dos puntos al eje </font></font></font></font></font></font></font></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><u><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span></u>.</font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i></font></font></font></font></font></font></font></font></font></i><br /><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4">Si <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«/math»</span> la función intersecta en un punto al eje </font></font></font></font></font></font></font></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><u><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span></u>.</font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i></font></font></font></font></font></font></font></font></font></i><br /><br /><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4">Si <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«mo»§lt;«/mo»«mn»0«/mn»«/math»</span> la función no intersecta al eje </font></font></font></font></font></font></font></font></font></i><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><u><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span></u>.</font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i></font></font></font></font></font></font></font></font></font></i><br /></blockquote><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4">En este caso, podemos ver<font size="4"><font size="4"> que la parábola #texto5, tal como lo muestra el gráfico<font size="4">:<br /></font></font></font></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i></font></font></font></font></font></font></font></font></font></i> <div align="center"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4">#graf3<font size="4"><br /></font></font></font></font></font></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i></font></font></font></font></font></font></font></font></font></i> <div align="left"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4"><font size="4">Entonces</font> podemos inferir que #ope</font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></font></font></i></font></font></font></font></font></font></i></font></font></i></font></font></font></i></font></font></i></font></font></font></font></font></font></font></font></font></i><br /></div></div><br /><i><font face="times new roman,times,serif" size="4"><font size="4"><font size="4"><font size="4"><font size="4"></font></font></font></font></font></i></div></div>
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#opa
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<p><i><font face="times new roman,times,serif" size="4"><font size="4">¡</font>Muy bien, sigue así!<br /></font></i></p>
Choice 2
Answer
#opb
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<i><font face="times new roman,times,serif" size="4">La parábola no es #texto3</font></i>
Choice 3
Answer
#opc
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<i><font face="times new roman,times,serif" size="4">¡Excelente!</font></i>
Choice 4
Answer
#opd
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font face="times new roman,times,serif" size="4"><em>La coordenada </em></font><font face="times new roman,times,serif" size="4"><em><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span> del punto de intersección de f con el eje </em></font><font face="times new roman,times,serif" size="4"><em><em><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»y«/mi»«/math»</span></em></em></font><font face="times new roman,times,serif" size="4"><em> es #texto4 </em></font><u><font size="4"><br /></font></u>
Choice 5
Answer
#ope
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font face="times new roman,times,serif"><i><font size="4">¡Perfecto!</font></i></font>
Choice 6
Answer
#opf
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<i><font face="times new roman,times,serif" size="4">Observa que la parábola #texto5, por lo que no puede ser esta alternativa.</font></i>
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 8
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 9
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Combined feedback
For any correct response
For any partially correct response
Options
Show the number of correct responses once the question has finished
For any incorrect response
Settings for multiple tries
Penalty for each incorrect try
100%
50%
33.33333%
25%
20%
10%
0%
Hint 1
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Hint 2
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Created / last saved
Created
by
Admin User
on
Tuesday, 13 August 2013, 4:22 PM
Last saved
by
Admin User
on
Tuesday, 13 August 2013, 4:22 PM
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