Question

The graph shows the function f(x) = |x – h| + k. What is the value of h?

h = –3.5
h = –1.5
h = 1.5
h = 3.5

Answer 1

h = –1.5

Explanation:

we know that

In the function

`f\left(x\right)=\left|x-h\right|+k`

The point (h,k) is the vertex of the function

where

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

In this problem the vertex is the point (-1.5,-3.5)

therefore

h=-1.5

the function is

`f\left(x\right)=\left|x+1.5\right|-3.5`

see the graph in the attached figure