Answer:
D
Step-by-step explanation:
The parent function y = | x | has it's vertex at the origin.
Here the vertex is at (- 5, - 1)
That is 5 units to the left and 1 down from the origin, thus
y = | x + 5 | - 1
Using a point on the graph as a test (- 4, 3) for 4 | x + 5 | - 1
Substitute the x- coordinate into the equation and compare against the y- coordinate of the point.
4 | - 4 + 5 | - 1 = 4 | 1 | - 1 = 4 - 1 = 3 ← correct y- coordinate, thus
y = 4 | x + 5 | - 1 → D
