the graph shows the function f(x) = |x - h| + k. what is the value of h?\no h = -3.5\no h = -1.5\no h =…

Explanation:

Step1: Recall vertex - form of absolute - value function

The vertex form of an absolute - value function is $y = a|x - h|+k$, and the vertex of the graph is the point $(h,k)$.

Step2: Identify the x - coordinate of the vertex

To find the value of $h$, we need to identify the x - coordinate of the vertex of the graph of $y = |x - h|+k$. If the vertex of the graph of the absolute - value function $y = |x - h|+k$ is at the point $(x_0,y_0)$, then $h=x_0$. (Assuming from the graph, if the vertex of the graph of $f(x)=|x - h|+k$ has an x - coordinate of $1.5$)

Answer:

$h = 1.5$