Answer:
h = –1.5
Step-by-step explanation:
we know that
In the function
[tex]f\left(x\right)=\left|x-h\right|+k[/tex]
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
[tex]f\left(x\right)=\left|x+1.5\right|-3.5[/tex]
see the graph in the attached figure
