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Algebra 1

7.13.0 Lesson Overview

Algebra 17.13.0 Lesson Overview

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In this lesson, you will work on activities that focus on the coefficient of the linear term, the bb in ax2+bx+cax2+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 x2+bx2+b in factored form can help us reason how to sketch the graph.

When you finish this lesson, you will be able to:

  • Explain how the bb in ax2+bx+cax2+bx+c affects the graph of the equation.
  • Match equations given in standard and factored form with their graph.

Here are the activities that will help you reach those goals:

  • 7.13.1: Equivalent Expressions
  • 7.13.2: The Linear Term in a Quadratic Expression
    • 7.13.2: Self Check
    • 7.13.2: Additional Resources
  • 7.13.3: Writing Equations that Represent a Graph
    • 7.13.3: Self Check
    • 7.13.3: Additional Resources
  • 7.14.4: Writing Quadratic Equations from Real Solutions
    • 7.14.4: Self Check
    • 7.14.4: Additional Resources
  • 7.13.5: Graphing Quadratic Equations

After that, you’ll practice and review.

  • 7.13.6: Practice
  • 7.13.7: Lesson Summary
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