Answer:
h = 2.5
Explanation:
This question deals with a translation applied to the parent function, f(x) = |x|.
The parent function of the absolute value equation is f(x) = |x|. The graph of f(x) = |x| is a V-shaped graph as shown in the graph, but the vertex of the V is at (0, 0).
When you substitute x - h for x, you translate the parent function h units horizontally. When you substitute y - k for y, you translate the parent function k units vertically.
Think of the parent function described above, f(x) = |x|.
Its vertex is at the origin, (0, 0).
Now look at the function in your graph. It is a horizontal and vertical translation of the parent function since the vertex is now at (2.5, 1.5).
The horizontal translation was from x = 0 to x = 2.5, so h is 2.5.
As mentioned above, when you substitute x - h for x, you translate the function h units horizontally. Since the horizontal translation is 2.5, h = 2.5.
Answer: h = 2.5