# Precalculus Examples

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

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide 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.

Replace the variable with in the expression.

Simplify each term.

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 .

Simplify by subtracting numbers.

Subtract from .

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

The absolute value vertex is .