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** Transformations Involving Exponential Functions**

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

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 |