In this lesson, you learned how to:

• Find the maximum or minimum of a function by writing the quadratic expression that defines it in vertex form.
• Explain why the vertex is a maximum or minimum when given a quadratic function in vertex form.

Here are the activities that helped you reach those goals:

• 9.11.1: Maximum and Minimum Value of a Function
  • In this activity, you reviewed the meaning of maximum or minimum value of a function. Then you practiced interpreting the language related to maximum and minimum values of functions.
• 9.11.2: Does the Vertex Represent the Minimum or Maximum Value?
  • In this activity, you used the vertex form to find out if a vertex represents the minimum or the maximum value of each function.
  • 9.11.2: Self Check
  • 9.11.2: Additional Resources
• 9.11.3: Comparing Maximums between Quadratics
  • In this activity, you were given two functions in different forms. One was graphed, and the other was in factored form. You used these two pieces of information, without creating a graph of the function in factored form, to determine the maximum value of each one.
  • 9.11.3: Self Check
  • 9.11.3: Additional Resources
• 9.11.4: Maximum, Minimum, and Analyzing the Vertex
  • In this activity, you found the vertex of the graph of a quadratic function and then determined if the $y$-coordinate of the vertex corresponded to a maximum or a minimum value of the function.

After these activities, you completed the following practice:

• 9.11.5: Practice