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<p>In this lesson, you will experiment with the graphs of quadratic functions expressed in standard form and reason about how the parameters of the expressions—specifically the coefficient of the squared term and the constant term—relate to features of the graphs.</p>
<p>When you finish this lesson, you will be able to:</p>
<ul class="os-raise-noindent">
<li> Explain how the \(a\) and \(c\) in \(ax^2+bx+c\) affect the graph of the equation. </li>
<li> Explain how graphs, tables, and equations that represent the same quadratic function are related. </li>
</ul>
<p>Here are the <strong>activities</strong> that will help you reach those goals:</p>
<ul class="os-raise-noindent">
<li> 7.12.1: Using Coefficients and Constant Terms to Identify Graphs of Linear Equations </li>
<li> 7.12.2: Transformations with Quadratic Functions </li>
<ul class="os-raise-noindent">
<li> 7.12.2: Self Check </li>
<li> 7.12.2: Additional Resources </li>
</ul>
<li> 7.12.3: Understanding the Behaviors of a Graph in Relation to Its Quadratic Expression </li>
<ul class="os-raise-noindent">
<li> 7.12.3: Self Check </li>
<li> 7.12.3: Additional Resources </li>
</ul>
<li> 7.12.4: Representations of Quadratic Functions </li>
<ul class="os-raise-noindent">
<li> 7.12.4: Self Check </li>
<li> 7.12.4: Additional Resources </li>
</ul>
<li> 7.12.5: Identifying Graphs of Quadratic Equations </li>
</ul>
<p>After that, you’ll <strong>practice and review</strong>.</p>
<ul class="os-raise-noindent">
<li> 7.12.6: Practice</li>
<li>7.12.7: Lesson Summary</li>
</ul>