The video tutorial explains how to rewrite quadratic functions to reveal their maximum values by completing the square. It covers the process of factoring out the leading coefficient, adding and subtracting numbers to complete the square, and identifying common mistakes. An example problem is provided to illustrate the steps, and the importance of rewriting functions to make maximum values visible is emphasized.

What is the first step to rewrite a quadratic function to reveal its maximum value?

What common mistake should be avoided when completing the square?

Explain the process of completing the square for the function Y = -X^2 + 16.

How do you determine the maximum value of the function Y = -X^2 - 2X + 15?

Summarize the importance of rewriting a quadratic function in standard form.