Question

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

Answer 1

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

Answer 2

Answer: H(x)=4(x-9)^2-17

Step-by-step explanation: