# Precalculus Examples

Combine and .

To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of .

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Multiply by .

Replace the variable with in the expression.

Divide by .

Add and .

The absolute value is the distance between a number and zero. The distance between and is .

The absolute value vertex is .