Question

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

Answer 1

Answer:

h = -1.5

Step-by-step explanation:

h is the amount of right-shift in the translation of the function. Here, the shift is 1.5 units to the left (and 3.5 units down). This make h = -1.5 (and k = -3.5).

Answer 2

Answer:

$h=-1.5$

Step-by-step explanation:

we know that

In the function $f\left(x\right)=\left|x-h\right|+k$ the vertex of the function is the point $(h,k)$

In this problem we have that

The vertex of the graph is the point $(-1.5,-3.5)$

therefore

the value of h is equal to

$h=-1.5$