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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="2112e782-b417-48b7-94a5-befe4d8b8ab6" 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="c133d14f-dfe1-4d87-983d-a394d9d888d3" data-problem-type="multiselect" data-solution='["\\(y=(x-2)^2 + 1\\)", "\\(y=x^2 - 4\\)", "\\(y=(x-4)^2 + 6\\)"]' data-solution-options='["\\(y=(x-2)^2 + 1\\)", "\\(y=x^2 - 4\\)", "\\(y=x(x+1)\\)", "\\(y=(x+3)(x+3)\\)", "\\(y=(x-4)^2 + 6\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li><strong>Select three</strong> quadratic expressions written in vertex form.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(y=(x-2)^2 + 1, y=x^2 - 4, y=(x-4)^2 + 6\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.14.2–7.14.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are: \(y=(x-2)^2 + 1, y=x^2 - 4, y=(x-4)^2 + 6\). </p>
</div>
</div>
<!--2-->
<div class="os-raise-ib-pset-problem" data-content-id="7b0b1508-7cef-415d-80fd-59c5381859fa" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="Both expressions are equal to \(x^2+6x\)." data-solution-options='["Both expressions are equal to \\(x^2+6x\\).", "Both expressions are equal to \\(x^2-6x\\).", "Both expressions are equal to \\(2x+6\\).", "Both expressions are equal to \\(x^2-3\\)."]'>
<div class="os-raise-ib-pset-problem-content">
<p>Examine the following two equations and use them to answer questions 2–5. One defines function \(m\) and the other defines function \(p\).</p>
<ul class="os-raise-noindent">
<li> \(m(x)=x(x+6)\) </li>
<li> \(p(x)=(x+3)^2−9\) </li>
</ul>
<ol class="os-raise-noindent" start="2">
<li>How do you know that the expressions defining \(m\) and \(p\) are equivalent?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Both expressions are equal to \(x^2+6x\). \((x+3)^2−9=(x+3)(x+3)−9=x^2+3x+3x+9−9=x^2+6x\) and \(x(x+6)=x^2+6x\). </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 7.14.2 and 7.14.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Both expressions are equal to \(x^2+6x\). \((x+3)^2−9=(x+3)(x+3)−9=x^2+3x+3x+9−9=x^2+6x\) and \(x(x+6)=x^2+6x\). </p>
</div>
</div>
<!--q3-->
<div class="os-raise-ib-pset-problem" data-content-id="db7fd02c-7b6a-46cf-b8e0-55761c276bb8" data-problem-comparator="integer" data-problem-type="input" data-solution="-3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>Recall \(m(x)=x(x+6)\) and \(p(x)=(x+3)^2−9\). What is the \(x\)-coordinate of the vertex of the graph of \(m\)? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is -3.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.14.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -3. The \(x\)-coordinate of the vertex of this function is -3. </p>
</div>
</div>
<!--4-->
<div class="os-raise-ib-pset-problem" data-content-id="c98bb928-4560-4c4b-bbf4-ea0149ca6437" data-problem-comparator="integer" data-problem-type="input" data-solution="-9">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Recall \(m(x)=x(x+6)\) and \(p(x)=(x+3)^2−9\). What is the \(y\)-coordinate of the vertex of the graph of \(m\)? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is -9.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.14.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -9. The \(y\)-coordinate of the vertex of this function is -9. </p>
</div>
</div>
<!--q5-->
<div class="os-raise-ib-pset-problem" data-content-id="32b1b9fd-9c8e-42a7-819e-b7a0dd0c09da" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((0,0)\) and \((-6,0)\)" data-solution-options='["\\((0,0)\\) and \\((-6,0)\\)", "\\((0,0)\\) and \\((6,0)\\)", "\\((0,0)\\) and \\((0,-6)\\)", "\\((0,0)\\) and \\((0,6)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>Recall \(m(x)=x(x+6)\) and \(p(x)=(x+3)^2−9\). What are the \(x\)-intercepts of the graph of \(p\)? </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! (0,0) and (-6,0) The graphs of \(m\) and \(p\) are the same. The zeros of \(m\) are 0 and -6, which give the \(x\)-intercepts of the graph.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is:(0,0) and (-6,0). The graphs of \(m\) and \(p\) are the same. The zeros of \(m\) are 0 and -6, which give the \(x\)-intercepts of the graph. </p>
</div>
</div>
<!--6a-->
<div class="os-raise-ib-pset-problem" data-content-id="74d02381-b4db-4a6f-905a-364096b5a335" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<p>For questions 6–11, enter the coordinates of the vertex of the graph that represents the equation.</p>
<ol class="os-raise-noindent" start="6">
<li>Find the coordinates of the vertex for the equation \(y=(x-3)^2 + 5\).</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is 3.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 3. The \(x\)-coordinate of the vertex of this function is 3. </p>
</div>
</div>
<!--6b-->
<div class="os-raise-ib-pset-problem" data-content-id="8db0a037-729b-45cc-99dd-29ba0eb6651d" data-problem-comparator="integer" data-problem-type="input" data-solution="5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is 5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 5. The \(y\)-coordinate of the vertex of this function is 5. </p>
</div>
</div>
<!--7a-->
<div class="os-raise-ib-pset-problem" data-content-id="531c5ab7-b573-41b0-a0e6-72810f62ea29" data-problem-comparator="integer" data-problem-type="input" data-solution="-7">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Find the coordinates of the vertex for the equation \(y=(x+7)^2 + 3\).</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is -7.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -7. The \(x\)-coordinate of the vertex of this function is -7. </p>
</div>
</div>
<!--7b-->
<div class="os-raise-ib-pset-problem" data-content-id="835917d0-a687-4630-ab31-da7b539992df" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is 3. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 3. The \(y\)-coordinate of the vertex of this function is 3. </p>
</div>
</div>
<!--8a-->
<div class="os-raise-ib-pset-problem" data-content-id="50d774b8-4213-4075-b64d-5439c4ae7b4e" data-problem-comparator="integer" data-problem-type="input" data-solution="4">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Find the coordinates of the vertex for the equation \(y=(x-4)^2\).</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is 4.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 4. The \(x\)-coordinate of the vertex of this function is 4. </p>
</div>
</div>
<!--8b-->
<div class="os-raise-ib-pset-problem" data-content-id="b848525e-136a-4158-9b48-dea628bbb367" data-problem-comparator="integer" data-problem-type="input" data-solution="0">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is 0.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 0. The \(y\)-coordinate of the vertex of this function is 0. </p>
</div>
</div>
<!--9a-->
<div class="os-raise-ib-pset-problem" data-content-id="56fcc5c0-1b76-4db6-b2c1-e86e82d17fe6" data-problem-comparator="integer" data-problem-type="input" data-solution="0">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Find the coordinates of the vertex for the equation \(y=x^2 - 1\).</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is 0.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 0. The \(x\)-coordinate of the vertex of this function is 0. </p>
</div>
</div>
<!--9b-->
<div class="os-raise-ib-pset-problem" data-content-id="077890de-2a93-4c41-86e7-4bb7e43bb860" data-problem-comparator="integer" data-problem-type="input" data-solution="-1">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is -1.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -1. The \(y\)-coordinate of the vertex of this function is -1.</p>
</div>
</div>
<!--10a-->
<div class="os-raise-ib-pset-problem" data-content-id="faed0a60-b173-4c1a-8e71-93017a212011" data-problem-comparator="integer" data-problem-type="input" data-solution="-1">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>Find the coordinates of the vertex for the equation \(y=2(x+1)^2-5\).</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is -1. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -1. The \(x\)-coordinate of the vertex of this function is -1. </p>
</div>
</div>
<!--10b-->
<div class="os-raise-ib-pset-problem" data-content-id="dba4eaa5-0b15-41d6-9fd8-0177f93f2551" data-problem-comparator="integer" data-problem-type="input" data-solution="-5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is -5. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -5. The \(y\)-coordinate of the vertex of this function is -5. </p>
</div>
</div>
<!--11a-->
<div class="os-raise-ib-pset-problem" data-content-id="17608d6c-e24e-49a4-b113-55d85b08d20a" data-problem-comparator="integer" data-problem-type="input" data-solution="-1">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="11">
<li>Find the coordinates of the vertex for the equation \(y=-2(x+1)^2-5\).</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is -1. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -1. The \(x\)-coordinate of the vertex of this function is -1. </p>
</div>
</div>
<!--11b-->
<div class="os-raise-ib-pset-problem" data-content-id="547a2c12-3f38-42b2-ad64-7aef3013dbb9" data-problem-comparator="integer" data-problem-type="input" data-solution="-5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is -5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -5. The \(y\)-coordinate of the vertex of this function is -5. </p>
</div>
</div>
<!--12a-->
<div class="os-raise-ib-pset-problem" data-content-id="153bf41c-176e-4750-8244-eb98aa10b803" data-problem-comparator="integer" data-problem-type="input" data-solution="4">
<div class="os-raise-ib-pset-problem-content">
<p>For questions 12–14, answer the questions about the \(x\)- and \(y\)-coordinates of the vertex, and whether the function opens up or down.</p>
<ol class="os-raise-noindent" start="12">
<li>For function \(f(x)=(x-4)^2-5\), find the coordinates of the vertex and determine if the function opens up or down.</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is 4.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 4. The \(x\)-coordinate of the vertex of this function is 4. </p>
</div>
</div>
<!--12b-->
<div class="os-raise-ib-pset-problem" data-content-id="4d8843ca-418a-42ba-bd8c-07a677701d43" data-problem-comparator="integer" data-problem-type="input" data-solution="-5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is -5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -5. The \(y\)-coordinate of the vertex of this function is -5. </p>
</div>
</div>
<!--12c-->
<div class="os-raise-ib-pset-problem" data-content-id="ddb461ca-54ff-4d3a-938d-267147fd2d73" data-problem-type="dropdown" data-retry-limit="1" data-solution="Up" data-solution-options='["Up", "Down"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3" type="a">
<li> For the function \(f(x)=(x-4)^2-5\), does the graph open up or down? </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The graph opens upward. The squared term has a positive coefficient (1). </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Up. The graph opens upward. The squared term has a positive coefficient (1). </p>
</div>
</div>
<!--13a-->
<div class="os-raise-ib-pset-problem" data-content-id="63a5f778-bcb8-4fb8-9154-e4031dffe0b6" data-problem-comparator="integer" data-problem-type="input" data-solution="0">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="13">
<li>For function \(g(x)=-x^2+5\), find the coordinates of the vertex and determine if the function opens up or down.</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is 0.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 0. The \(x\)-coordinate of the vertex of this function is 0. </p>
</div>
</div>
<!--13b-->
<div class="os-raise-ib-pset-problem" data-content-id="fe6eeb1a-1ac8-45e3-ba14-ccddaacb489d" data-problem-comparator="integer" data-problem-type="input" data-solution="5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is 5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 5. The \(y\)-coordinate of the vertex of this function is 5. </p>
</div>
</div>
<!--13c-->
<div class="os-raise-ib-pset-problem" data-content-id="5b4be5d0-00e7-4d0b-af7a-57111623a19f" data-problem-type="dropdown" data-retry-limit="1" data-solution="Down" data-solution-options='["Up", "Down"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3" type="a">
<li> For the function \(g(x)=-x^2+5\), does the graph open up or down? </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The graph opens downward. The squared term has a negative coefficient (-1). </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Down. The graph opens downward. The squared term has a negative coefficient (-1). </p>
</div>
</div>
<!--14a-->
<div class="os-raise-ib-pset-problem" data-content-id="e6373ada-eda7-4bca-a713-f19d5ed95b7d" data-problem-comparator="integer" data-problem-type="input" data-solution="-1">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="14">
<li>For function \(h(x)=2(x+1)^2-4\), find the coordinates of the vertex and determine if the function opens up or down.</li>
</ol>
<ol class="os-raise-noindent" type="a">
<li> What is the \(x\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(x\)-coordinate of the vertex of this function is -1.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -1. The \(x\)-coordinate of the vertex of this function is -1.</p>
</div>
</div>
<!--14b-->
<div class="os-raise-ib-pset-problem" data-content-id="74f6c292-8f70-41d2-a76f-4210efb1c5a7" data-problem-comparator="integer" data-problem-type="input" data-solution="-4">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2" type="a">
<li> What is the \(y\)-coordinate of the vertex? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-coordinate of the vertex of this function is -4.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -4. The \(y\)-coordinate of the vertex of this function is -4. </p>
</div>
</div>
<!--14c-->
<div class="os-raise-ib-pset-problem" data-content-id="9476e3df-31f2-48b7-8072-1cc2d74d2729" data-problem-type="dropdown" data-retry-limit="1" data-solution="Up" data-solution-options='["Up", "Down"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3" type="a">
<li> For the function \(h(x)=2(x+1)^2-4\), does the graph open up or down? </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The graph opens upward. The squared term has a positive coefficient (2). </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 7.15.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Up. The graph opens upward. The squared term has a positive coefficient (2). </p>
</div>
</div>
<!--Do not edit below this line-->
<div class="os-raise-ib-pset-correct-response"> </div>
<div class="os-raise-ib-pset-encourage-response"> </div>
</div>