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<h4>Cool Down Activity</h4>
<p>Here are graphs that represent three quadratic functions, defined by:</p>
<p>\(f(x)=x^2-4\)<br>
\(g(x)=1-x^2\)<br>
\(h(x)=x^2+4\)</p>
<p><img alt="Coordinate plane with 3 quadratic functions. Curve A opens up and has minimum at 0 comma 4. Curve B opens up and has minimum at negative 4 comma 0. Curve C opens down and has maximum 0 comma 1." height="216" src="https://k12.openstax.org/contents/raise/resources/1315d2846792f9c61cb68b722d2e7a89c489119b" width="258"></p>
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="723c1300-c3d6-46ff-872c-1d7a5f5f1fd4" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0"> &ZeroWidthSpace;
<!--Q#-->
&ZeroWidthSpace;
<div class="os-raise-ib-pset-problem" data-content-id="200d8791-5375-4d74-8a94-8d7d0b9bad61" data-problem-type="dropdown" data-solution="Blue Graph B" data-solution-options='["Green Graph A", "Blue Graph B", "Black Graph C"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>Which graph represents the equation \(f(x)=x^2-4\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Blue Graph B because the \(y\)-intercept is \((0,-4)\) and the graph opens upward.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Incorrect. The correct answer is Blue Graph B because the \(y\)-intercept is \((0,-4)\) and the graph opens upward.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#2-->
&ZeroWidthSpace;
<div class="os-raise-ib-pset-problem" data-content-id="cd497fb3-7b75-4099-a3c2-2278ada45ded" data-problem-type="dropdown" data-solution="Black Graph C" data-solution-options='["Green Graph A", "Blue Graph B", "Black Graph C"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>Which graph represents the equation \(g(x)=1-x^2\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Black Graph C because the \(y\)-intercept is \((0,1)\) and the graph opens downward.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Incorrect. The correct answer is Black Graph C because the \(y\)-intercept is \((0,1)\) and the graph opens downward.</p>
</div>
</div>
<!--END QUESTION.-->
&ZeroWidthSpace;<!--Q#3-->
&ZeroWidthSpace;
<div class="os-raise-ib-pset-problem" data-content-id="5007f1e3-3da1-4798-a4ba-f8447ef38153" data-problem-type="dropdown" data-solution="Green Graph A" data-solution-options='["Green Graph A", "Blue Graph B", "Black Graph C"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>Which graph represents the equation \(h(x)=x^2+4\)?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Green Graph A because the \(y\)-intercept is \((0,4)\) and the graph opens upward.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Incorrect. The correct answer is Green Graph A because the \(y\)-intercept is \((0,4)\) and the graph opens upward.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--
<div class="os-raise-ib-pset-problem" data-problem-comparator="text" data-problem-type="input" data-solution="-x^2">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Which part of the equation tells us that Graph C opens downward?</li>
</ol>
<p>Enter your answer here:<strong><br></strong></p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The negative coefficient of \(x^2\) makes the graph open downward.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
</div>
</div>
-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="889d32e8-78b4-447c-beeb-c87c7b2ae05c" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>Which part of the equation tells us that Graph C opens downward?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here: </p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p> \(y=1-x^2\) is the equation. The negative coefficient of \(x^2\) makes the graph open downward.</p>
</div>
</div>