Chapter 9.4, Problem 4E

To determine

To find: The method of using the completing the square to find the maximum and minimum value of a quadratic function.

Explanation of Solution

Consider a quadratic equation be $y=a{x}^2+bx+c$ .

To find the maximum and minimum values of the above equation by completing the square process, first convert the above equation into the vertex form that is, $y=a{\left(x-h\right)}^2+k$ .

The term ${\left(x-h\right)}^2$ is the square of the binomial.

Hence, it is the process of completing the square to find the maximum and minimum values of a quadratic function.