Answer
$ h(x)=3^{x}-1$
Work Step by Step
We first find the graph of $ f(x)=3^{x}$ among the graphs given from 19 to 24.
The graph of $ f(x)=3^{x}$ is
- always above the x-axis, (graphs 20, 22, 24)
- from left to right, always rises and passes through (0,1) and (1,3)
The graph of $ f(x)=3^{x}$ is graph 22.
This graph (graph $23$) is obtained from the graph of $ f(x)=3^{x}$ by
shifting it one unit downward: $ f(x-1)=3^{x}-1$
$ h(x)=3^{x}-1.$
