For this case we have the following equation:
y = 4 (x-2) ^ 2-1
Rewriting we have:
y = 4 (x ^ 2-4x + 4) ^ 2-1
Multiplying the common factor 2 we have:
y = 4x ^ 2-16x + 16-1
Adding the constant term we have:
y = 4x ^ 2-16x + 15
Answer:
y = 4x ^ 2-16x + 15
option D