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8799b00b-5b5b-478a-b05e-242b8b5323d3.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="ca25b4a9-4ce8-4633-bdf7-77e4f7b4d8a7" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--1-->
<div class="os-raise-ib-pset-problem" data-content-id="2cf37e70-fdd6-46dc-a766-bfd6dd4b69ef" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 − 10x + 9\)" data-solution-options='["\\(f(x) = x^2 + 10x + 9\\)", "\\(f(x) = x^2 − 8x + 9\\)", "\\(f(x) = x^2 + 8x + 9\\)", "\\(f(x) = x^2 − 10x + 9\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>For questions 1–6, identify a quadratic function in standard form, \(f(x)\), with the given zeros.</p>
<ol class="os-raise-noindent">
<li>1 and 9</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.11.2.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 − 10x + 9\).
</p>
</div>
</div>
<!--2-->
<div class="os-raise-ib-pset-problem" data-content-id="07db76f5-fe1a-47b7-a8f4-d6338a20b858" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 − 5\)" data-solution-options='["\\(f(x) = x^2 − 5x − 5\\)", "\\(f(x) = x^2 + 5x − 5\\)", "\\(f(x) = x^2 − 5\\)", "\\(f(x) = x^2 + 5\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>\(\sqrt5\) and \(-\sqrt{5}\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.11.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 − 5\).
</p>
</div>
</div>
<!--3-->
<div class="os-raise-ib-pset-problem" data-content-id="ff482616-7944-4fc5-9ae2-3b54d7a076b0" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 + 14x + 49\)" data-solution-options='["\\(f(x) = x^2 + 14x + 49\\)", "\\(f(x) = x^2 − 14x − 49\\)", "\\(f(x) = x^2 − 49\\)", "\\(f(x) = x^2 − 14x + 49\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>–7</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.11.2. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 + 14x + 49\).
</p>
</div>
</div>
<!--4-->
<div class="os-raise-ib-pset-problem" data-content-id="4c636bc6-210b-4a8a-af32-6a02cfa78d9e" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 + 4x − 5\)" data-solution-options='["\\(f(x) = x^2 + 4x − 5\\)", "\\(f(x) = x^2 − 6x − 5\\)", "\\(f(x) = x^2 − 4x − 5\\)", "\\(f(x) = x^2 + 6x − 5\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Examine the graph below to identify the zeros of the function. Then, write a quadratic function in standard form with the given zeros.</li>
</ol>
<img alt="A PARABOLA THAT OPENS UP WITH \(x\)-intercepts OF NEGATIVE 5 AND 1." height="307" src="https://k12.openstax.org/contents/raise/resources/d45d9f081db1b61ee2529b53e5c2892539aa57d7" width="300">
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.11.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 + 4x − 5\).
</p>
</div>
</div>
<!--5-->
<div class="os-raise-ib-pset-problem" data-content-id="c0d873b5-60e8-4b43-9c28-d67fa7c53f36" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 + 6x + 9\)" data-solution-options='["\\(f(x) = x^2 − 6x + 9\\)", "\\(f(x) = x^2 + 9\\)", "\\(f(x) = x^2 + 6x + 9\\)", "\\(f(x) = x^2 − 9\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>–3</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.11.2. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 + 6x + 9\).
</p>
</div>
</div>
<!--6-->
<div class="os-raise-ib-pset-problem" data-content-id="52010894-9061-4963-87c8-7e33c014fee6" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 − 6x + 8\)" data-solution-options='["\\(f(x) = x^2 − 2x − 8\\)", "\\(f(x) = x^2 − 6x + 8\\)", "\\(f(x) = x^2 + 2x − 8\\)", "\\(f(x) = x^2 + 6x + 8\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Examine the graph below to identify the zeros of the function. Then, write a quadratic function in standard form with the given zeros.</li>
</ol>
<p><img alt="A PARABOLA THAT OPENS UP WITH \(x\)-intercepts OF 2 AND 4." height="304" src="https://k12.openstax.org/contents/raise/resources/3052dbda096476721907aeb22e7f73e814e56db2" width="300"></p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.11.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 − 6x + 8\).
</p>
</div>
</div>
<!--7-->
<div class="os-raise-ib-pset-problem" data-content-id="382279dc-b26c-458b-bbc8-215732e20d35" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(p(x) = 2x^2 + 10x − 48\)" data-solution-options='["\\(p(x) = 2x^2 + 10x − 48\\)", "\\(p(x) = 3x^2 + 15x − 72\\)", "\\(p(x) = −x^2 − 5x − 24\\)", "\\(p(x) = −x^2 − 5x − 6\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Write the specific quadratic function, \(p(x)\), in standard form, that has the zeros –8 and 3 and passes through the point \((2, -20)\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 8.11.3 and 8.11.4.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(p(x) = 2x^2 + 10x − 48\).
</p>
</div>
</div>
<!--8-->
<div class="os-raise-ib-pset-problem" data-content-id="d8bf81db-a6a2-4606-87d8-62d38118a5b4" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(g(x) = −3x^2 + 12x − 12\)" data-solution-options='["\\(g(x) = x^2 − 4x + 4\\)", "\\(g(x) = 2x^2 − 8x + 3\\)", "\\(g(x) = −2x^2 + 8x − 8\\)", "\\(g(x) = −3x^2 + 12x − 12\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Write the specific quadratic function, \(g(x)\), in standard form, that has the zero 2 and passes through the point \((3, -3)\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 8.11.3 and 8.11.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(g(x) = −3x^2 + 12x − 12\).
</p>
</div>
</div>
<!--9-->
<div class="os-raise-ib-pset-problem" data-content-id="432a5130-fca8-457c-ba48-e4760bd43c87" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(h(x) = 4x^2 − 32x + 60\)" data-solution-options='["\\(h(x) = x^2 − 8x + 15\\)", "\\(h(x) = 4x^2 − 32x + 60\\)", "\\(h(x) = −x^2 + 8x − 15\\)", "\\(h(x) = 3x^2 − 24x + 48\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Write the specific quadratic function, \(h(x)\), in standard form, that has the zeros 3 and 5 and passes through the point \((2, 12)\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 8.11.3 and 8.11.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(h(x) = 4x^2 − 32x + 60\).
</p>
</div>
</div>
<!--10-->
<div class="os-raise-ib-pset-problem" data-content-id="edc67eae-edda-4a6b-80d1-0160b01d0141" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\( w(x) = −x^2 − x + 42\)" data-solution-options='["\\(w(x) = x^2 + x − 42\\)", "\\(w(x) = 2x^2 + 2x − 48\\)", "\\(w(x) = −2x^2 − 2x + 84\\)", "\\( w(x) = −x^2 − x + 42\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>Write the specific quadratic function, \(w(x)\), in standard form, that has the zeros 6 and –7 and passes through the point \((5, 12)\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 8.11.3 and 8.11.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \( w(x) = −x^2 − x + 42\). </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>