e61ff11f-77e9-4290-bcb6-f89316a5f492.html

<p>In this lesson, you will work on activities that focus on the coefficient of the linear term, the \(b\) in \(ax^2+bx+c\), and how changes to it affect the graph. You will discover that adding a linear term to the squared term translates the graph in both horizontal and vertical directions. This understanding will show that writing an expression such as \(x^2+b\) in factored form can help us reason how to sketch the graph.</p>
<p>When you finish this lesson, you will be able to:</p>
<ul>
  <li>
    Explain how the \(b\) in \(ax^2+bx+c\) affects the graph of the equation.
  </li>
  <li>
    Match equations given in standard and factored form with their graph.
  </li>
</ul>
<p>Here are the activities that will help you reach those goals:</p>
<ul>
  <li>
    7.13.1: Equivalent Expressions
  </li>
  <li>
    7.13.2: The Linear Term in a Quadratic Expression
  </li>
  <ul>
    <li>
      7.13.2: Self Check
    </li>
    <li>
      7.13.2: Additional Resources
    </li>
  </ul>
  <li>
    7.13.3: Writing Equations that Represent a Graph
  </li>
  <ul>
    <li>
      7.13.3: Self Check
    </li>
    <li>
      7.13.3: Additional Resources
    </li>
  </ul>
  <li>
    7.14.4: Writing Quadratic Equations from Real Solutions
  </li>
  <ul>
    <li>
      7.14.4: Self Check
    </li>
    <li>
      7.14.4: Additional Resources
    </li>
  </ul>
  <li>
    7.13.5: Graphing Quadratic Equations
  </li>
</ul>
<p>After that, you&rsquo;ll practice and review.</p>
<ul>
  <li>
    7.13.6: Practice
  </li>
  <li>
    7.13.7: Lesson Summary
  </li>
</ul>