In this lesson, you learned how to:

• Explain how the $a$ and $c$ in $a{x}^2+bx+c$ affect the graph of the equation.
• Explain how graphs, tables, and equations that represent the same quadratic function are related.

Here are the activities that helped you reach those goals:

• 7.12.1: Using Coefficients and Constant Terms to Identify Graphs of Linear Equations
  • In this activity, you matched three linear equations with their graphs by comparing slopes and $y$-intercepts.
• 7.12.2: Transformations with Quadratic Functions
  • In this activity, you explored how transformations affect the graphs of quadratic functions.
  • 7.12.2: Self Check
  • 7.12.2: Additional Resources
• 7.12.3: Understanding the Behaviors of a Graph in Relation to Its Quadratic Expression
  • In this activity, you examined the values in tables and how the values from a quadratic expression affect its graph.
  • 7.12.3: Self Check
  • 7.12.3: Additional Resources
• 7.12.4: Representations of Quadratic Functions
  • In this activity, you used the standard form and factored form of quadratic functions as well as their graphs to identify intercepts to match the equivalent forms and their graphs.
  • 7.12.4: Self Check
  • 7.12.4: Additional Resources
• 7.12.5: Identifying Graphs of Quadratic Equations
  • In this activity, you matched the graphs of quadratic functions with their equations.

After these activities, you completed the following practice:

• 7.12.6: Practice