Question

Use the graph of f to describe the transformation that yields the graph of g. f(x)=3^xg(x) = −3^x−2

Answer 1

Solution:

Given the functions:

$\begin{gathered} f(x)=3^x \\ g(x)=-3^{x-2} \end{gathered}$

The graph of f(x) is as shown below:

The graph of g(x) is as shown below:

Description:

In the above graph, we observe that in the transformation, the f(x) plot is reflected across the x-axis and shifted downwards by 2 units to obtain the g(x) plot.