7.13.7 Lesson Summary

In this lesson, you learned how to:

• Explain how the $b$ in $a{x}^2+bx+c$ affects the graph of the equation.
• Match equations given in standard and factored form with their graph.

Here are the activities that helped you reach those goals:

• 7.13.1: Equivalent Expressions
  • In this activity, you compared standard and factored forms of quadratic equations and made observations about the two types of forms.
• 7.13.2: The Linear Term in a Quadratic Expression
  • In this activity, you looked at different quadratic equations of the form $f(x)=x^2+bx$ and $f(x)=x^2+c$ and identified the $x$-intercepts and vertex.
  • 7.13.2: Self Check
  • 7.13.2: Additional Resources
• 7.13.3: Writing Equations that Represent a Graph
  • In this activity, you used graphing technology to find the equation that would graph a quadratic function through three given points.
  • 7.13.3: Self Check
  • 7:13.3: Additional Resources
• 7.13.4: Writing Quadratic Equations from Real Solutions
  • In this activity, you used the real solutions of a quadratic to write the quadratic equation that has those solutions.
  • 7.13.4: Self Check
  • 7:13.4: Additional Resources
• 7.13.5: Graphing Quadratic Equations
  • In this activity, you graphed quadratic functions in different forms by identifying the $x$-intercepts and vertex.

After these activities, you completed the following practice:

• 7.13.6: Practice