Precalculus Function find A,B, C

Question

Describe a function  in terms of  if the graph of  is obtained by reflecting the graph of  about the -axis and if it is horizontally stretched by a factor of 7 when compared to the graph of . where

A=?

B=?

C=?

Answer 1

Reflecting over the x-axis means you add a negative in front of the function: y = -f(x)

Horizontally stretching by 7 means multiplying the "x" by 1/7 so y = -f(1/7x)

So g(x) = -f(1/7x) or:

A = -1

B = 1/7

C = 0