Describe this function

Question

Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 9, then shifting the graph of f to the right 3 units and upward 6 units. g(x)=Af(x+B)+C, where g(x)=Af(x+B)+C, where

A=

B=-3

C=6

A is not 5. Please help.

Answer 1

Um, I'm not sure why the answer isn't otherwise obvious, to be blunt.

A stretches vertically by a factor of A.

B ("with" x) moves us horizontally in the opposite direction of the sign.

C ("not with" x) moves us vertically.

So, if B being -3 moves us right 3 and C being 6 moves us up 6, what do yoooooou thing A is if we're vertically stretching by a factor of 9?

Hint: 5 would vertically stretch by a factor of 5, which is why it's not the answer.