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## Q. 3.1.5

Transformations Involving Exponential Functions

Use the graph of $f(x)=2^x$ to obtain the graph of $g(x)=2^x-3$.

## Verified Solution

The graph of $g(x)=2^x-3$ is the graph of $f(x)=2^x$ shifted down 3 units.

 Begin with a table showing some of the coordinates for f. x $f(x)=2^x$ -2 $f(-2)=2^{-2}=\frac{1}{4}$ -1 $f(-1)=2^{-1}=\frac{1}{2}$ 0 $f(0)=2^0=1$ 1 $f(1)=2^1=2$ 2 $f(2)=2^2=4$