Name Date Class

LESSON

7-7Practice ATransforming Exponential and Logarithmic Functions

Graph each function. Find the asymptote. Tell how the graph is transformed from the graph of f x 4 x .

1. f x 4 x 1

a. Complete the table.

x 3 2 1 0 1

f x 4 x 1 4 2 1 ___ 16

0.25 1 4 16

b. Graph the ordered pairs and draw a curve through the points.

c. Describe the asymptote. y 0

d. How is the graph transformed from the graph of f x 4 x ?

Translated 1 unit left

2. f x 4 x

y 0; reflected across the x-axis

Write each transformed function.

4. The function f x ln x is reflected across the y-axis. g x ln x

5. The function f x 8 x is horizontally compressed by a factor of 2. g x 8

2x

6. The function f x 3 x is vertically stretched by a factor of 4. g x 4 3 x

Copyright by Holt, Rinehart and Winston. Holt Algebra 2All rights reserved.

A2_IDEA_PA0707 1A2_IDEA_PA0707 1 4/9/06 4:05:58 PM4/9/06 4:05:58 PMProcess BlackProcess Black

Name Date Class

LESSON

7-7Practice ATransforming Exponential and Logarithmic Functions

Graph each function. Find the asymptote. Tell how the graph is transformed from the graph of f x 4 x .

1. f x 4 x 1

a. Complete the table.

x 3 2 1 0 1

f x 4 x 1 4 2 1 ___ 16

0.25 1 4 16

b. Graph the ordered pairs and draw a curve through the points.

c. Describe the asymptote. y 0

d. How is the graph transformed from the graph of f x 4 x ?

Translated 1 unit left

2. f x 4 x

y 0; reflected across the x-axis

Write each transformed function.

4. The function f x ln x is reflected across the y-axis. g x ln x

5. The function f x 8 x is horizontally compressed by a factor of 2. g x 8

2x

6. The function f x 3 x is vertically stretched by a factor of 4. g x 4 3 x

Copyright by Holt, Rinehart and Winston. Holt Algebra 2All rights reserved.

A2_IDEA_PA0707 1A2_IDEA_PA0707 1 4/9/06 4:05:45 PM4/9/06 4:05:45 PM