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.

Replace the variable with in the expression.

Simplify each term.

Subtract from .

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

Multiply by .

Add and .

The absolute value vertex is .

Find the Vertex f(x)=-3|x-1|+12