# Precalculus Examples

Set the polynomial equal to to find the properties of the parabola.

Use the form , to find the values of , , and .

Consider the vertex form of a parabola.

Find the value of using the formula .

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 .

Find the value of using the formula .

Simplify each term.

Multiply by to get .

Simplify the numerator.

Remove parentheses around .

Raising to any positive power yields .

Simplify the denominator.

Remove parentheses.

Multiply by to get .

Multiply by to get .

Divide by to get .

Multiply by to get .

Add and to get .

Substitute the values of , , and into the vertex form .

Use the vertex form, , to determine the values of , , and .

Find the vertex .