Answer:
A. y = |x + 4| - 2.
Explanation:
The graph of y = |x| is V shaped and passes through the origin and the slope is 1 (like the given graph).
y = |x + 4) moves the V shaped graph 4 units to the left so the tip of the V is at x = -4.
Now subtracting 2 from this graph will bring the graph to the point where x = -4 and y = -2.
So the given function is y = |x + 4| - 2.