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 .
Add and .
The absolute value vertex is .
Find the Vertex f(x)=|x-13|+11