Question

How do you use the graph of `f(x)=3^x` to describe the transformation of `g(x)=3^(x-4)`?

Answer 1

`g(x)` is `f(x)` scaled by `1/81`

Explanation:

`f(x) = 3^x`

`g(x) = 3^(x-4)`

`= 3^x xx 3^(-4) = 3^x/3^4`

`= f(x)/3^4 = f(x)/81`

Hence, `g(x)` is `f(x)` scaled by `1/81`

The graph of `f(x)` is shown below.
graph{3^x [-7.9, 7.905, -3.95, 3.95]}