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10611e02-fafc-48f4-b925-dfb97c646d03.html
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<!--Do not edit this div tag. It must surround the interaction block-->
<p>Complete the following questions to practice the skills you have learned in this lesson.</p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="a268d9ef-92c2-407d-b3c2-d8626d953dfc" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--1a-->
<div class="os-raise-ib-pset-problem" data-content-id="10c18699-63a8-4727-aef9-554b952c18ad" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=x^2+x\)" data-solution-options='["\\(y=x^2+x\\)", "\\(y=-x^2+2\\)", "\\(y=x^2-x\\)", "\\(y=x^2+3x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>Choose the quadratic equation that represents each graph.</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
<p><img alt="<p>A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 2 comma 2, 0 comma 0, and 2 comma 6.</p>" height="171" src="https://k12.openstax.org/contents/raise/resources/7dc411bbf2270de91b8434022d10d52c2ef5b03d" width="268"></p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=x^2+x\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \(y=x^2+x\). </p>
</div>
</div>
<!--1b-->
<div class="os-raise-ib-pset-problem" data-content-id="b82293b7-d121-4b1a-af04-9a782684acca" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=-x^2+2\)" data-solution-options='["\\(y=x^2+x\\)", "\\(y=-x^2+2\\)", "\\(y=x^2-x\\)", "\\(y=x^2+3x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>
<p> <img alt="<p>A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 1 comma 1, 0 comma 0, 2 comma 2.</p>" height="171" src="https://k12.openstax.org/contents/raise/resources/8c79633ee9db28ae376fd645f3305f7e040d6f37" width="268"></p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=-x^2+2\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \(y=-x^2+2\). </p>
</div>
</div>
<!--1c-->
<div class="os-raise-ib-pset-problem" data-content-id="3904b634-9a02-4278-8669-0f52e59f3a73" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=x^2-x\)" data-solution-options='["\\(y=x^2+x\\)", "\\(y=-x^2+2\\)", "\\(y=x^2-x\\)", "\\(y=x^2+3x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>
<p> <img alt="<p>A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 1 comma 1, 0 comma 0, 2 comma 2.</p>" height="171" src="https://k12.openstax.org/contents/raise/resources/7b2bcbdf48c57e9872e7e9cc5a2b0a45f04ff07e" width="268"></p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=x^2-x\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \(y=x^2-x\). </p>
</div>
</div>
<!--1d-->
<div class="os-raise-ib-pset-problem" data-content-id="ac6c8d51-6ddd-408e-8c9a-09724b084945" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=x^2+3x\)" data-solution-options='["\\(y=x^2+x\\)", "\\(y=-x^2+2\\)", "\\(y=x^2-x\\)", "\\(y=x^2+3x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="4" type="a">
<li>
<p> <img alt="<p>A curve in an x y plane, origin O. Horizontal axis, scale negative 6 to 5, by 1’s. Vertical axis, scale negative 4 to 4, by 1’s. A curve passes through the points negative 3 comma 3, negative 1 comma negative 2, and 0 comma 0.</p>" height="171" src="https://k12.openstax.org/contents/raise/resources/2d6d2db94cfc98fa655c905ff086edd06b44a023" width="268"></p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=x^2+3x\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \(y=x^2+3x\). </p>
</div>
</div>
<!--2a-->
<div class="os-raise-ib-pset-problem" data-content-id="47b221e5-5ecf-47ef-a87c-6397d45e81c0" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((0,0),(-12,0)\)" data-solution-options='["\\((0,0),(-12,0)\\)", "\\((0,0), (3,0)\\)", "\\((0,0), (16,0)\\)", "\\((0,0), (-24,0)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>Without graphing the equations, answer questions 2–5 to complete the table.</p>
<br>
<table class="os-raise-wideequaltable">
<thead>
<tr>
<th scope="col">Equation</th>
<th scope="col">\(x\)-intercepts</th>
<th scope="col">\(x\)-coordinate of vertex</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<p>\(y=x^2+12x\)</p>
</td>
<td>
<p>2a. _____</p>
</td>
<td>
<p>2b. _____</p>
</td>
</tr>
<tr>
<td>
<p>\(y=x^2-3x\)</p>
</td>
<td>
<p>3a. _____</p>
</td>
<td>
<p>3b. _____</p>
</td>
</tr>
<tr>
<td>
<p>\(y=-x^2+16x\)</p>
</td>
<td>
<p>4a. _____</p>
</td>
<td>
<p>4b. _____</p>
</td>
</tr>
<tr>
<td>
<p>\(y=-x^2-24x\)</p>
</td>
<td>
<p>5a. _____</p>
</td>
<td>
<p>5b. _____</p>
</td>
</tr>
</tbody>
</table>
<br>
<ol class="os-raise-noindent" start="2">
<li>Find the \(x\)-intercepts and the \(x\)-coordinate of the vertex for the equation \(y=x^2+12x\).</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
<p> What are the \(x\)-intercepts for the equation \(y=x^2+12x\)?</p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \((0,0),(-12,0)\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.13.2–7.13.4.!</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \((0,0),(-12,0)\). </p>
</div>
</div>
<!--2b-->
<div class="os-raise-ib-pset-problem" data-content-id="3dcd0fb3-d5f6-4512-87e4-078c17bde828" data-problem-comparator="integer" data-problem-type="input" data-solution="-6">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>What is the \(x\)-coordinate of the vertex for the equation \(y=x^2+12x\)? </li>
</ol>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! -6</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -6. </p>
</div>
</div>
<!--3a-->
<div class="os-raise-ib-pset-problem" data-content-id="14d4938b-e405-400d-93d0-80c66d6d6c8f" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((0,0), (3,0)\)" data-solution-options='["\\((0,0),(-12,0)\\)", "\\((0,0), (3,0)\\)", "\\((0,0), (16,0)\\)", "\\((0,0), (-24,0)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>Find the \(x\)-intercepts and the \(x\)-coordinate of the vertex for the equation \(y=x^2-3x\).</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
<p> What are the \(x\)-intercepts for the equation \(y=x^2-3x\)?</p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \((0,0), (3,0)\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p> Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \((0,0), (3,0)\). </p>
</div>
</div>
<!--3b-->
<div class="os-raise-ib-pset-problem" data-content-id="7d788c97-8fc3-4ac2-9c93-5682536af420" data-problem-comparator="float" data-problem-type="input" data-solution="1.5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(x\)-coordinate of the vertex for the equation \(y=x^2-3x\)? </li>
</ol>
</ol>
<p> Enter your answer here: </p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p> Correct! 1.5</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 1.5. </p>
</div>
</div>
<!--4a-->
<div class="os-raise-ib-pset-problem" data-content-id="44d02fe9-ead0-4214-a431-386e3bc84345" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((0,0), (16,0)\)" data-solution-options='["\\((0,0),(-12,0)\\)", "\\((0,0), (3,0)\\)", "\\((0,0), (16,0)\\)", "\\((0,0), (-24,0)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Find the \(x\)-intercepts and the \(x\)-coordinate of the vertex for the equation \(y=-x^2+16x\).</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
<p> What are the \(x\)-intercepts for the equation \(y=-x^2+16x\)?</p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \((0,0), (16,0)\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: \((0,0), (16,0)\). </p>
</div>
</div>
<!--4b-->
<div class="os-raise-ib-pset-problem" data-content-id="c941cd33-a878-4346-989f-33be17d96f3b" data-problem-comparator="integer" data-problem-type="input" data-solution="8">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>What is the \(x\)-coordinate of the vertex for the equation \(y=-x^2+16x\)? </li>
</ol>
</ol>
<p> Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 8</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 8. </p>
</div>
</div>
<!--5a-->
<div class="os-raise-ib-pset-problem" data-content-id="daee3cea-92e3-4ed5-bfa5-8ec55ee29adb" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((0,0), (-24,0)\)" data-solution-options='["\\((0,0),(-12,0)\\)", "\\((0,0), (3,0)\\)", "\\((0,0), (16,0)\\)", "\\((0,0), (-24,0)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>Find the \(x\)-intercepts and the \(x\)-coordinate of the vertex for the equation \(y=-x^2-24x\).</li>
</ol>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>
<p> What are the \(x\)-intercepts for the equation \(y=-x^2-24x\)?</p>
</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \((0,0), (-24,0)\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p> Try again. Revisit activities 7.13.3 and 7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is:\((0,0), (-24,0)\). </p>
</div>
</div>
<!--5b-->
<div class="os-raise-ib-pset-problem" data-content-id="f7b96024-18a1-40e0-9882-0fa5a72c36e2" data-problem-comparator="integer" data-problem-type="input" data-solution="-12">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(x\)-coordinate of the vertex for the equation \(y=-x^2-24x\)?</li>
</ol>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! -12</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -12. </p>
</div>
</div>
<!--6a-->
<div class="os-raise-ib-pset-problem" data-content-id="d6cf80d4-5580-4e13-8a35-00fd2bee55ae" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="The graph would move to the right and down." data-solution-options='["The graph would move to the right and down.", "The graph would move to the left and down.", "The graph would move to the right and up.", "The graph would move to the left and up."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Here is a graph that represents \(y=x^2\).
<p><img alt=" <p>A curve in an x y plane, origin O. Horizontal axis, scale negative 8 to 8, by 2’s. Vertical axis, scale negative 12 to 12, by 2’s. A curve, labeled y equals x squared, passes through the points negative 2 comma 4, 0 comma 0, and 2 comma 4.</p>" height="172" src="https://k12.openstax.org/contents/raise/resources/24018f3ad80b39441a79406ca4974776c1d0d321" width="268"> </p>
</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li>
<p> Describe what would happen to the graph if the original equation were changed to \(y=x^2-6x\).</p>
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p> Correct! The graph would move to the right and down.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: The graph would move to the right and down. </p>
</div>
</div>
<!--6b-->
<div class="os-raise-ib-pset-problem" data-content-id="3ca7ea2c-96ba-4c27-973a-0a56c436cdc1" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((0,0),(6,0)\)" data-solution-options='["\\((0,0),(6,0)\\)", "\\((0,0),(0,6)\\)", "\\((0,0),(-6,0)\\)", "\\((0,0),(0,-6)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li> Predict the \(x\)-intercepts of the graph if the original equation were changed to \(y=x^2-6x\).</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \((0,0),(6,0)\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is:\((0,0),(6,0)\). </p>
</div>
</div>
<!--6c-->
<div class="os-raise-ib-pset-problem" data-content-id="430d5ce7-c22e-4d78-bbf5-ec84afbfdc46" data-problem-type="dropdown" data-retry-limit="3" data-solution="Fourth" data-solution-options='["First", "Second", "Third", "Fourth"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>In which quadrant is the vertex located if the original equation were changed to \(y=x^2-6x\)?</li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Fourth Quadrant</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Fourth Quadrant. </p>
</div>
</div>
<!--7-->
<div class="os-raise-ib-pset-problem" data-content-id="acf83bce-9750-4918-a6ff-1dcc561f61ac" data-problem-type="multiselect" data-solution='["\\(y=(2x−1)^2\\)", "\\(y=x^2−8x−7\\)"]' data-solution-options='["\\(y=-x^2+9x\\)", "\\(y=10x−5x^2\\)", "\\(y=(2x−1)^2\\)", "\\(y=(1−x)(2+x)\\)", "\\(y=x^2−8x−7\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li><strong>Select two </strong>equations whose graph opens upward.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=(2x−1)^2\), \(y=x^2−8x−7\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are: \(y=(2x−1)^2\), \(y=x^2−8x−7\). </p>
</div>
</div>
<!--8a-->
<div class="os-raise-ib-pset-problem" data-content-id="0e291e11-6eef-42fb-9eeb-31e8067d7732" data-problem-type="dropdown" data-retry-limit="2" data-solution="Graph A" data-solution-options='["Graph A", "Graph B", "Graph C"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Technology required. Use the three graphs to answer questions a–c. Then, use graphing technology to check each equation.</li>
</ol>
<p>Graph A</p>
<p><img alt='"Parabola. Opens up. X intercepts = 0&nbsp;and -7.&nbsp;"' height="211" src="https://k12.openstax.org/contents/raise/resources/4aeafc491ae29b91a96c11b8e424555b36123a02" width="267"></p>
<p>Graph B</p>
<p><img alt='"Parabola. Opens up. Vertex = 0&nbsp;comma -16.&nbsp;X intercepts = -4 and 4.&nbsp;"' height="215" src="https://k12.openstax.org/contents/raise/resources/1b3fec958046c05f54fe8dfa7e6bd83312caad5b" width="264"></p>
<p>Graph C</p>
<p><img alt='"Parabola. Opens up. X intercepts = -9&nbsp;and 3.&nbsp;"' height="216" src="https://k12.openstax.org/contents/raise/resources/7543018bfe177a32a2e0ddd1ecea70ee4bae2dc3" width="270"></p>
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" type="a">
<li>Which graph represents the equation \(f(x)=x(x+7)\) or \(f(x)=x^2+7x\)? Then, use graphing technology to check your answer. </li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Graph A </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p> Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Graph A. </p>
</div>
</div>
<!--8b-->
<div class="os-raise-ib-pset-problem" data-content-id="ed2a78ec-d3d7-400c-bbf2-5f40578b5460" data-problem-type="dropdown" data-retry-limit="2" data-solution="Graph B" data-solution-options='["Graph A", "Graph B", "Graph C"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="2" type="a">
<li>Which graph represents the equation \(g(x)=(x+4)(x−4)\) or \(g(x)=x^2−16\)? Then, use graphing technology to check your answer. </li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Graph B </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Graph B. </p>
</div>
</div>
<!--8c-->
<div class="os-raise-ib-pset-problem" data-content-id="437286ec-77dc-4d6c-a768-4e4ee1a8bd6a" data-problem-type="dropdown" data-retry-limit="2" data-solution="Graph C" data-solution-options='["Graph A", "Graph B", "Graph C"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<ol class="os-raise-noindent" start="3" type="a">
<li>Which graph represents the equation \(h(x)=(x−3)(x+9)\) or \(h(x)=x^2+6x−27\)? Then, use graphing technology to check your answer. </li>
</ol>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Graph C</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.13.2–7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Graph C. </p>
</div>
</div>
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<div class="os-raise-ib-pset-correct-response"> </div>
<div class="os-raise-ib-pset-encourage-response"> </div>
</div>
<!--BEGIN PRACTICE PROBLEM MULTIPLE CHOICE -->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="8f299f46-6d5e-4196-a7a3-db1e16815595" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--Q9-->
<div class="os-raise-ib-pset-problem" data-content-id="d5887686-b139-4874-86d2-d295948cb807" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=x^2+7x+12\)" data-solution-options='["\\(y=x^2-7x+12\\)", "\\(y=x^2+7x+12\\)", "\\(y=x^2+7x-12\\)", "\\(y=x^2-7x-12\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Choose the quadratic equation written from the real solutions \(x=-4\) and \(x=-3\). </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=x^2+7x+12\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(y=x^2+7x+12\).</p>
<p>\(x=-4\) and \(x=-3\) means that \(x+4=0\) and \(x+3=0\). \(y=(x+4)(x+3) = x^2+3x+4x+12 = x^2+7x+12.\)
</p>
</div>
</div>
<!--END QUESTION.-->
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<div class="os-raise-ib-pset-correct-response">
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</div>
<div class="os-raise-ib-pset-encourage-response">
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</div>
</div>
<!--END PRACTICE PROBLEM MULTIPLE CHOICE -->