Answer:
D
Step-by-step explanation:
This equation is written as
a|x-h|+k
where...
k is vertical displacement of the vertex
h is horizontal displacement of the vertex
and a is the slope modifier
The vertex of the graph is located at (-4,-1), which means that h=-4 and k=-1. We can also conclude that a=-1 because the range values of the function decrease at a rate of plus minus 1.
If we enter these values to our equation we get y=(-1)|x-(-4)|+(-1) which is equal to
y=-|x+4|-1 which is letter D.
