# DESCRIBING TRANSFORMATIONS OF EXPONENTIAL FUNCTIONS WORKSHEET

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

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.

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