In this lesson, you will work on activities that focus on the coefficient of the linear term, the in , 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 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 in 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
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7.13.2: The Linear Term in a Quadratic Expression
- 7.13.2: Self Check
- 7.13.2: Additional Resources
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7.13.3: Writing Equations that Represent a Graph
- 7.13.3: Self Check
- 7.13.3: Additional Resources
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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