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<h4>Activity</h4>
<p><img alt="GRAPHS A THROUGH F. GRAPH A IS A PARABOLA THAT OPENS UP WITH A VERTEX AT (4, 1). GRAPH B IS A PARABOLA THAT OPENS UP WITH A VERTEX AT (NEGATIVE 1, NEGATIVE 4). GRAPH C IS A PARABOLA THAT OPENS DOWN WITH A VERTEX AT (4, 1). GRAPH D IS A PARABOLA THAT OPENS DOWN WITH A VERTEX AT (NEGATIVE 1, NEGATIVE 4). GRAPH E IS A PARABOLA THAT OPENS UP WITH A VERTEX AT (NEGATIVE 4, NEGATIVE 1). GRAPH F IS A PARABOLA THAT OPENS UP WITH A VERTEX AT (1, 4)." class="img-fluid atto_image_button_text-bottom" height="277" src="https://k12.openstax.org/contents/raise/resources/f38d59f200df6a983128aa7f5619f7153bdd8c78" width="550"><br><a href="https://k12.openstax.org/contents/raise/resources/f38d59f200df6a983128aa7f5619f7153bdd8c78" target="_blank">Moodle 6.16.3 Image of all 6 graphs</a></p>
<p>Your teacher will give you a <a href="https://k12.openstax.org/contents/raise/resources/35081cec25e7fdf19783a8242062c143427ebe67" target="_blank">set of cards</a>. Each card contains an equation or a graph that represents a quadratic function. Take turns matching each equation to a graph that represents the same function.</p>
<ul class="os-raise-noindent">
<li> For each pair of cards that you match, explain to your partner how you know they belong together. </li>
<li> For each pair of cards that your partner matches, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement. </li>
<li> Once all the cards are matched, record the equation, the letter of the equation, and a sketch of the corresponding graph, and write a brief note or explanation about how you knew they were a match. </li>
</ul>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="b68b5171-bae4-4844-a366-b1d49fc06c22" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0"> ----------------------------------------
<!--Q#-->
<div class="os-raise-ib-pset-problem" data-content-id="a5a39f83-9dbe-449a-a961-b24d10d83459" data-problem-type="multiplechoice" data-solution="\(f(x)=(x−1)^2+4\)" data-solution-options='["\\(f(x)=(x−1)^2+4\\)", "\\(g(x)=-(x−4)^2+1\\)", "\\(h(x)=(x+1)^2−4\\) ", "\\(p(x)=-(x+1)^2−4\\)", "\\(q(x)=2(x−4)^2+1\\)", "\\(r(x)=(x+4)^2−1\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p><img height="307" src="https://k12.openstax.org/contents/raise/resources/9e3666853195ea17931a06f0d3d0c0ea93498bf8" width="300"></p>
<ol class="os-raise-noindent">
<li>Choose the equation that matches this graph.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(f(x)=(x−1)^2+4\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x)=(x−1)^2+4\)</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#2-->
<div class="os-raise-ib-pset-problem" data-content-id="c19ac55e-aeae-4673-9637-30805c3b0646" data-problem-type="multiplechoice" data-solution="\(g(x)=-(x−4)^2+1\)" data-solution-options='["\\(f(x)=(x−1)^2+4\\)", "\\(g(x)=-(x−4)^2+1\\)", "\\(h(x)=(x+1)^2−4\\) ", "\\(p(x)=-(x+1)^2−4\\)", "\\(q(x)=2(x−4)^2+1\\)", "\\(r(x)=(x+4)^2−1\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p><img height="307" src="https://k12.openstax.org/contents/raise/resources/4d466c76748bb2ecb4bcf5c219c37a8d42e389ad" width="300"></p>
<ol class="os-raise-noindent" start="2">
<li>Choose the equation that matches this graph.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(g(x)=-(x−4)^2+1\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(g(x)=-(x−4)^2+1\)</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#3-->
<div class="os-raise-ib-pset-problem" data-content-id="6e76a594-f41f-45d2-bc8e-ad9af1fc22ad" data-problem-type="multiplechoice" data-solution="\(h(x)=(x+1)^2−4\)" data-solution-options='["\\(f(x)=(x−1)^2+4\\)", "\\(g(x)=-(x−4)^2+1\\)", "\\(h(x)=(x+1)^2−4\\) ", "\\(p(x)=-(x+1)^2−4\\)", "\\(q(x)=2(x−4)^2+1\\)", "\\(r(x)=(x+4)^2−1\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p><img height="309" src="https://k12.openstax.org/contents/raise/resources/d28232a07fc49824d62edd58f17311938ace6810" width="300"></p>
<ol class="os-raise-noindent" start="3">
<li>Choose the equation that matches this graph.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(h(x)=(x+1)^2−4\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(h(x)=(x+1)^2−4\)</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#4-->
<div class="os-raise-ib-pset-problem" data-content-id="10da2f44-bc11-43f2-856b-01078222072d" data-problem-type="multiplechoice" data-solution="\(p(x)=-(x+1)^2−4\)" data-solution-options='["\\(f(x)=(x−1)^2+4\\)", "\\(g(x)=-(x−4)^2+1\\)", "\\(h(x)=(x+1)^2−4\\) ", "\\(p(x)=-(x+1)^2−4\\)", "\\(q(x)=2(x−4)^2+1\\)", "\\(r(x)=(x+4)^2−1\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p><img height="419" src="https://k12.openstax.org/contents/raise/resources/6aba729ee1a38d4bff05e4f6d2a781e6f85c6d9f" width="419"></p>
<ol class="os-raise-noindent" start="4">
<li>Choose the equation that matches this graph.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(p(x)=-(x+1)^2−4\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(p(x)=-(x+1)^2−4\)</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#5-->
<div class="os-raise-ib-pset-problem" data-content-id="56ebeb06-23dd-451c-8658-8ac564dce3e3" data-problem-type="multiplechoice" data-solution="\(q(x)=2(x−4)^2+1\)" data-solution-options='["\\(f(x)=(x−1)^2+4\\)", "\\(g(x)=-(x−4)^2+1\\)", "\\(h(x)=(x+1)^2−4\\) ", "\\(p(x)=-(x+1)^2−4\\)", "\\(q(x)=2(x−4)^2+1\\)", "\\(r(x)=(x+4)^2−1\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p><img height="298" src="https://k12.openstax.org/contents/raise/resources/e26776c65d185b7d6ef47ffebf88d403f2ecf7e2" width="300"></p>
<ol class="os-raise-noindent" start="5">
<li>Choose the equation that matches this graph.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(q(x)=2(x−4)^2+1\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(q(x)=2(x−4)^2+1\)</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#6-->
<div class="os-raise-ib-pset-problem" data-content-id="d97fab51-af0f-482d-878f-1990ac473dc1" data-problem-type="multiplechoice" data-solution="\(r(x)=(x+4)^2−1\)" data-solution-options='["\\(f(x)=(x−1)^2+4\\)", "\\(g(x)=-(x−4)^2+1\\)", "\\(h(x)=(x+1)^2−4\\) ", "\\(p(x)=-(x+1)^2−4\\)", "\\(q(x)=2(x−4)^2+1\\)", "\\(r(x)=(x+4)^2−1\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p><img height="298" src="https://k12.openstax.org/contents/raise/resources/bccc7cd3f38774bf699d865ccb8eed107cb66e59" width="300"></p>
<ol class="os-raise-noindent" start="6">
<li>Choose the equation that matches this graph.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(r(x)=(x+4)^2−1\)</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(r(x)=(x+4)^2−1\)</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>
<br>
<h4>Video: Learning About Quadratic Equations and Graphs</h4>
<p>Watch the following video to learn more about quadratic equations and graphs.</p>
<div class="os-raise-d-flex-nowrap os-raise-justify-content-center">
<div class="os-raise-video-container"><video controls="true" crossorigin="anonymous">
<source src="https://k12.openstax.org/contents/raise/resources/ed46d4e172a9596e0ebddd22dd41d4482020ea61">
<track default="true" kind="captions" label="On" src="https://k12.openstax.org/contents/raise/resources/699de55621cdcd90927da9dbf409c144e43650c8" srclang="en_us">https://k12.openstax.org/contents/raise/resources/ed46d4e172a9596e0ebddd22dd41d4482020ea61
</video></div>
</div>