If H (x) = 4x^2-16 were shifted 9 units to the right and 1 down, what wold be the new equation?

A. H (x) = 4 (x+9) ^2-17

B. H (x) = 4 (x-7) ^2+16

C. H (x) = 4 (x-17) ^2-9

D. H (x) = 4 (x-9) ^2-17

To move a function c units to the right, minus c from every x

to move a function c units up, add c to the whole function

so

we want 9 to the right and 1 down

basically we need to find f (x-9) - 1 (-1 is up - 1 units)

f (x-9) - 1=4 (x-9) ²-16-1

f (x-9) = 4 (x-9) ²-17

answer is D