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** Transformations Involving Exponential Functions**

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

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 |