# Precalculus Examples

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 .

Multiply by .

Find the value of using the formula .

Simplify each term.

Multiply by .

Raise to the power of .

Multiply by .

Subtract from .

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

Substitute for in the equation .

Move to the right side of the equation by adding to both sides.

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

Consider the vertex form of a parabola.

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.

Multiply by .

Simplify the numerator.

Remove parentheses.

One to any power is one.

Multiply by .

Subtract from .

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

Substitute for in the equation .

Move to the right side of the equation by adding to both sides.

Find the common denominator.

Write as a fraction with denominator .

Multiply by .

Multiply and .

Combine fractions.

Combine the numerators over the common denominator.

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Add and .

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.