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Transformations of Exponential Functions

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.
What is the transformation?
a)
Vertical Translation up 2
b)
Vertical Translation down 2
c)
Horizontal Translation left 2
d)
Horizontal Translation right 2
2.
What is the transformation?
a)
Vertical Translation up 1
b)
Vertical Translation down 1
c)
Horizontal Translation left 1
d)
Horizontal Translation right 1
3.
What is the transformation?
a)
Vertical Translation up 2 and Horizontal translation right 1
b)
Vertical Translation down 2 and Horizontal Translation left 1
c)
Horizontal Translation left 2 and Vertical Translation up 1
d)
Horizontal Translation right 2 and Vertical Translation down 1
4.

Which graph best represents

y=2x−4y=2^x-4  

a)
b)
c)
d)
5.

How did the graph transform from the parent function?

y=-5(2)(x)

a)

Down 5

b)

Vertical Stretch by 5

c)

Left 2

d)

Right 2

e)

Flipped/Reflected over the x-axis

6.

What is the a-value of the function?

a)

4

b)

3

c)

2

d)

1

7.

Given the original exponential function defined by y=4x, how would the graph change if the function were:

y=2(4)x-3+1?

a)

Vertically stretched by a factor of 2, right 3, and up 1

b)

Vertically compressed by a factor of 1/2, left 3 and down 1

c)

Vertically compressed by a factor of 1/2, right 3, and down 1

d)

Vertically stretched by a factor of 2, left 3, and up 1

8.

Which of the following describes the transformation of  f(x)=12⋅2(x+2)−3f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3  from the parent graph  g(x)=2xg\left(x\right)=2^x  

a)

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

b)

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

c)

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

d)

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

9.
What is the range of the function shown below?
a)
0 < y < 12
b)
-2 < y < 5
c)
y > 0
d)
All Real Numbers 
10.
Is this exponential growth or decay?
a)
Growth
b)
Decay
11.

Determine the horizontal asymptote for the function

f(x) = 3(2)x-4 + 5

a)

x=4

b)

y=4

c)

x=5

d)

y=5

12.

Does this table represent exponential growth or decay?

a)

Growth

b)

Decay

13.
Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?
a)
$2201.25
b)
$2694.55
c)
$2707.45
d)
$2708.63
14.
Smithville Bank is offering each of it's customers a record 3.4% interest on new savings account. If Mr. Thomas opens an account with $1,500, how much interest will he earn in 3 years?
a)
$15,300
b)
$1,530
c)
$153
d)
The answer is not shown
15.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO