Chapter 8.5, Problem 2E

To determine

To find:The maximum value or minimum value of the quadratic function that is given in the intercept form.

Answer to Problem 2E

The x-coordinate value is substituted to the function to find the y-coordinate which is the maximum or minimum value.

Explanation of Solution

Given information:

The function is given in the intercept form.

Formula used:

  $x=\frac{p+q}{2}$

The intercept form is:

  $f\left(x\right)=a\left(x-p\right)\left(x-q\right)$

The vertex results in having the maximum or minimum point is located. To find the x-coordinate, based on the values as,

  $x=\frac{p+q}{2}$

Substitute the x- coordinate to the function to find the y-coordinate which is the maximum or minimum value.

Conclusion:

The x-coordinate value is substituted to the function to find the y-coordinate which is the maximum or minimum value.