Algebra 2 Companion Book, Volume 2

7.2.3 Transforming Exponential and Logarithmic Functions − Practice

1.  What change do you have to make to the graph of f ( x ) = 4 x in order to graph the function g ( x ) = 4 x + 5 ? Shift the graph _____ units _____.

2.  Use the graph of f ( x ) = 6 x , to graph j ( x ) = 6 x + 3.

3.  Identify the asymptote of the function. g ( x ) = 2 0.5 x − 2

4.  Graph the function.

  

  

x

f x

= ( ) log

2 4

5.  Graph the function. f ( x ) = log 5 ( − x )

6.  Write the transformed function that represents f ( x ) = ln x stretched vertically by a factor of 5, reflected across the x -axis, and shifted by 6 units left.

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