# Precalculus Examples

The maximum or minimum of a quadratic function occurs at . If is negative, the maximum value of the function is . If is positive, the minimum value of the function is .

occurs at

Find the value of equal to .

Substitute in the values of and .

Remove the extra parentheses from the expression .

Remove the parentheses from the numerator.

Remove the parentheses from the denominator.

Multiply by to get .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by to get .

Replace the variable with in the expression.

Simplify the result.

Simplify each term.

Remove parentheses around .

Raise to the power of to get .

Multiply by to get .

Simplify by adding and subtracting.

Subtract from to get .

Add and to get .

The final answer is .