Question

If f(x) = x2 describe how g(x) is a transformation of f(x) given that g(x) = (x+9)? hp

Answer 1

The parent function is

$f(x)=x^2$

The function g(x) is

$g(x)=(\frac{1}{3}x+9)^2$

All the new numbers refer to different transformations of f(x).

Specifically,

• The number 9 means the function is being shifted 9 units left side.

,

• The factor 1/3 means the function is being horizontally stretched by a factor of 1/3.

Therefore, the transformation above relates g(x) to f(x).