Question

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

Answer 1

(8,6)

Explanation:

g(x) = |x – 8| + 6 was transformed from the parent function g(x) = |x|:

8 unit right

6 units up

a parent absolute value function has a vertex at (0,0)

if the function is moved so is the vertex:

(0+8,0+6)

(8,6)

So, the vertex of this function is at (8,6)

Answer 2

Answer: vertex = (8, 6)

Explanation:

The Vertex form of an absolute value function is: y = a|x - h| + k where

• a is the vertical stretch
• (h, k) is the vertex

g(x) = |x - 8| + 6 is already in vertex form where

h = 8 and k = 6

so the vertex (h, k) = (8, 6)