Answer:
A.
Explanation:
Vertex form for a absolute value function is f(x)=a|x-h|+k
The vertex is (h,k)
If a is positive it is open up
If a is negative it is open down
So looking at the a part we can rule out 2 choices B and D
Finding the vertex is enough because A and C different in that slightly
The vertex is (-2,3)
So the absolute value function should look like this f(x)=a|x+2|+3
So the answer is A.