# Precalculus Examples

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

Consider the vertex form of a parabola.

Substitute the values of and into the formula .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Rewrite the expression.

Find the value of using the formula .

Simplify each term.

Raise to the power of .

Multiply by .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

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

Set equal to the new right side.