Answer:
A
Step-by-step explanation:
At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.
Now fill in x=-2 in both remaining answers and see what happens.
For A: y = -2(-2 - 1)² + 3 = -15
For B: y = (-2 - 1)² + 3 = 12
That eliminates B and leaves A.
