59369988-18b8-4459-b1cf-7e8e99551954.html

<h3>Cool Down (5 minutes)</h3>
<h4>Student Activity</h4>
<p>The equations \(y=x^2+6x+8\) and \(y=(x+2)(x+4)\) both define the same quadratic function.&nbsp;</p>
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      <li>Without graphing, identify the \(x\)-intercepts of the graph. Explain how you know.</li>
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    <p>\((-2,0)\),\((-4,0)\); The constants in the factors of an equation in factored form give a clue about where the \(x\)-intercepts are when the equation is graphed. In the equation \(y=(x+2)(x+4)\), the \(x\)-intercepts are \((-2,0)\) and \((-4,0)\).</p>
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      <li>Without graphing, identify the \(y\)-value of the \(y\)-intercept of the graph. Be prepared to show your reasoning.</li>
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    <p>8; The \(y\)-intercepts of the graph can be seen when the equation is in standard form. The \(y\)-coordinate is the number without the variable. In the equation \(y=x^2+6x+8\), it is the 8 so the \(y\)-intercept is \((0,8)\).</p>
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