Answer:
A. y = |x - 5| - 4
Explanation:
The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).
The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.
y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.
y - (-4) = |x - 5|
y + 4 = |x - 5|
y = |x - 5| - 4
Answer: A. y = |x - 5| - 4