# Precalculus Examples

Simplify .
Write as a fraction with denominator .
Multiply and to get .
To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Solve the equation to find the coordinate for the absolute value vertex.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Solve for .
Multiply both sides of the equation by .
Multiply by to get .
Replace the variable with in the expression.
Simplify to get .
Simplify each term.
Divide by to get .
Subtract from to get .
The absolute value is the distance between a number and zero. The distance between and is .
Multiply by to get .
The absolute value vertex is .

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