What is the vertex of the graph of g(x)= |x-8|+6

vertex is (8,6)

Step-by-step explanation:

Vertex form of absolute function is

, where (h,k) is the vertex

LEts find the value of h and k from the given equation

compare it with the equation

The value of h is 8 and k is 6

So the vertex is (8,6)

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.