Finding Maximum and Minimum Values by Completing the Square

This lesson teaches how to find maximum and minimum values of real-world functions by completing the square. It covers quadratic functions in vertex form, explaining how to identify vertices and determine if they represent maximum or minimum values. The lesson includes examples of maximizing revenue and minimizing production costs, demonstrating the application of these concepts in practical scenarios.

What is the vertex form of a quadratic function and how does it help in identifying maximum or minimum values?

What does the value of 'a' in a quadratic function indicate about the vertex?

How can a company determine the number of items to produce in order to maximize revenue?

Explain the process of completing the square to convert a function into vertex form.

How do you verify that the calculated maximum revenue is indeed the highest possible revenue?