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## Q. 3.1.4

Transformations Involving Exponential Functions

Use the graph of $f(x)=3^x$ to obtain the graph of $g(x)=3^{x+1}$.

## Verified Solution

The graph of $g(x)=3^{x+1}$ is the graph of $f(x)=3^x$ shifted 1 unit to the left.

 Begin with a table showing some of the coordinates for f. x $f(x)=3^x$ -2 $f(-2)=3^{-2}=\frac{1}{9}$ -1 $f(-1)=3^{-1}=\frac{1}{3}$ 0 $f(0)=3^0=1$ 1 $f(1)=3^1=3$ 2 $f(2)=3^2=9$