GRAPHING EXPONENTIAL FUNCTIONS WITH TRANSFORMATIONS WORKSHEET

Given the graphed parent function y = 2x, perform the following transformations.

graph-of-2-powerx-fortransformation

Problem 1 :

y = 2x - 2

Solution

Problem 2 :

y = 2x - 2

Solution

Problem 3 :

y = (-1)2x

Solution

Problem 4 :

y = 2x+2

Solution

Problem 5 :

y = 2x + 3

Solution

Problem 6 :

y = (-2)2x

Solution

Answer key

1)  

transformation-of-exp-function-in-graphq1

2)

transformation-of-exp-function-in-graphq2.png

3)

transformation-of-exp-function-in-graphq3.png

4)

transformation-of-exp-function-in-graphq4.png

5)

transformation-of-exp-function-in-graphq5.png

6)

transformation-of-exp-function-in-graphq6.png

Describing Transformation from the Given Graph of Exponential Function

Compare each graph to f(x) = 2x . Write a description of each transformation and graph each function.

Problem 1 :

describing-transformation-from-graphof-expq1

Solution

Problem 2 :

describing-transformation-from-graphof-expq2.png

Solution

Problem 3 :

describing-transformation-from-graphof-expq3.png

Solution

Problem 4 :

describing-transformation-from-graphof-expq4.png

Solution

Problem 5 :

describing-transformation-from-graphof-expq5.png

Solution

Problem 6 :

describing-transformation-from-graphof-expq6.png

Solution

Problem 7 :

describing-transformation-from-graphof-expq7.png

Solution

Problem 8 :

describing-transformation-from-graphof-expq8.png

Solution

Problem 9 :

describing-transformation-from-graphof-expq9.png

Solution

Answer Key

1)  2 units left and 3 units down

2) Reflection across x-axis, 2 units right and 5 units up.

3)  1 unit right and 4 units down.

4)  2 unit left and 5 units down.

5) 1 unit right and 1 unit up

6)  Reflected across x-axis, 3 units left and 3 unit up.

7)  3 units right and 3 unit down.

8)  3 units right and 4 units up.

9)  Reflected across x-axis,1 unit right and 2 units up.

Describe the transformation that map the function y = 2x on each of the following functions.

Problem 1 :

y = 2x - 2

Solution

Problem 2 :

y = 2x+3 

Solution

Problem 3 :

y = 4x 

Solution

Problem 4 :

y = 3(2x - 1) + 1

Solution

Describe the transformation that map into the function

y = 8x

on to each function.

Problem 5 :

y = (1/2) 8x

Solution

Problem 6 :

y = -8x

Solution

Problem 7 :

y = 8-2x

Solution

Using the parent graph of f(x) = 4x, describe the transformation of each function.

Problem 8 :

f(x) = -2(4x + 3) - 5

Solution

Problem 9 :

f(x) = (42x + 6) + 2

Solution

Problem 10 :

f(x) = (4-3x + 12) + 1

Solution

Problem 11 :

f(x) = (4(1/2)x - 2) + 3

Solution

Problem 12 :

f(x) = (1/3)(4(1/3)x + 3) - 4

Solution

Answer Key

1)  shifting 2 units down

2)  shifting 3 units left

3)  horizontal compression by the factor of 2.

4)  vertical stretch with the factor of 3.

No reflection

  Translation of 1 unit right and 1 unit up.

5)  vertical compression by the factor of 1/2.

6)  reflection across x-axis.

7)  horizontal compression with reflection across y-axis.

8)  Vertical stretch of factor 2 ==> reflection across x-axis => move left 3 units and down 5 units.

9)  Horizontal compression of 2 units. No reflection. Move horizontally 6 units left and 2 unit up.

10)  Horizontal compression of 3 units. Reflection across y-axis. Move  horizontally 12 units left and 1 unit up.

11)  Horizontal stretch of 1/2 units. No reflection. Move  horizontally 2 units right and 3 units up.

12)  Horizontal stretch of 1/3 units. No reflection. Move  horizontally 3 units left and 4 units down

Recent Articles

RSS

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More