Quiz about Transformation of Exponential Functions

Question 1

What is the transformation of f(x)=(3)^x-2+1

Accepted Answer

right 2

up 1

Answer

left 2

down 1

Answer

left 2up 1

Answer

right 2

down 1

Question 2

What is the parent function of f(x)=-3(4)^x-2-5

Accepted Answer

f(x)=4x

Answer

f(x)=3x

Answer

f(x)=-3

Answer

f(x)=-5

Question 3

What is the domain of the exponential function?

Accepted Answer

all real numbers

Answer

y > -1

Answer

y < -1

Answer

x > -1

Question 4

What is the range of the exponential function?

Accepted Answer

y > -1

Answer

all real numbers

Answer

y < -1

Answer

x > -1

Question 5

What is the horizontal asymptote of the exponential function?

Accepted Answer

y = -1

Answer

y = 0

Answer

x = 0

Answer

x = -1

Question 6

What is the domain of the exponential function?

Accepted Answer

all real numbers

Answer

y > 3

Answer

y < 3

Answer

x > 3

Question 7

What is the range of the exponential function?

Accepted Answer

y > 3

Answer

all real numbers

Answer

y < 3

Answer

x > 3

Question 8

What is the horizontal asymptote of the exponential function?

Accepted Answer

y = 3

Answer

y = 0

Answer

x = 0

Answer

x = 3

Question 9

What is the domain of the exponential function?

Accepted Answer

all real numbers

Answer

y > -3

Answer

y < -3

Answer

x > -3

Question 10

What is the range of the exponential function?

Accepted Answer

y < -3

Answer

all real numbers

Answer

y > -3

Answer

x > -3

Question 11

What is the horizontal asymptote of the exponential function?

Accepted Answer

y = -3

Answer

y = 0

Answer

x = 0

Answer

x = -3

Question 12

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

Accepted Answer

4 units down

Answer

4 units up

Answer

4 units to the left

Answer

4 units to the right

Question 13

Given g(x)=5^x

Write a function that is reflected over the x-axis and translated 4 units to the right.

Accepted Answer

f(x)= 5^(x-4)

Answer

f(x)= -5^x-4

Answer

f(x)= -5^x+4

Answer

f(x)= 5^-(x-4)

Question 14

What kind of transformation is represented?

Accepted Answer

right 1 unit

Answer

up 1 unit

Answer

left 1 unit

Answer

down 1 unit

Question 15

What is the transformation?

Accepted Answer

Reflection across the line x=0

Answer

Horizontal Translation left 2

Answer

Vertical Translation down 2

Answer

None

Question 16

Given y=4^(x+1)determine the y-intercept

Accepted Answer

(0,4)

Answer

(0,1)

Question 17

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6

Accepted Answer

reflects over the x-axis, left 3, down 6

Answer

It stayed the same

Answer

reflects over the x-axis, up 3, left 6

Answer

reflects over the x-axis, right 3, down 6

Question 18

What transformations occur in the following function?

Accepted Answer

right 3, up 2

Answer

left 3, up 2

Answer

left 3, down 2

Answer

right 3, down 2

Question 19

Given f(x) = 4^x and the translated function

g(x) = 4^x+6, which translation would result in a change of the range?

Accepted Answer

Vertical shirt of 6 units up

Answer

Reflection over the line x=0

Answer

Neither

Question 20

Given f(x)=5^x write a function that is reflected over the vertical line x-axis

Accepted Answer

g(x) = -5^x

Answer

h(x)= 5-x

Question 21

Given the function f(x) = (1/3)^x-4, describe the translation

Accepted Answer

4 units right

Answer

4 units up

Answer

4 units down

Answer

4 units left

Question 22

What type of function is $y=2^x$ ?

Accepted Answer

Exponential

Answer

Logarithmic

Answer

Linear

Answer

Quadratic

Question 23

Does the graph represent an exponential growth or an exponential decay function?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 24

What is the y-intercept of the function?

Accepted Answer

3

Answer

2

Answer

1

Answer

-2

Question 25

Given y=3^xdetermine the asymptote

Accepted Answer

y=0

Answer

(0,1)

Answer

(0,3)

Answer

x=0

Question 26

Is the pictured graph growth, decay, or linear or quadratic?

Accepted Answer

Decay

Answer

Growth

Answer

Linear

Answer

Quadratic

Question 27

Is the pictured graph growth, decay, or linear or quadratic?

Accepted Answer

Growth

Answer

Decay

Answer

Linear

Answer

Quadratic

Question 28

What is the range of this graph?

Accepted Answer

y > -6

Answer

y = 6

Answer

(0, -4)

Answer

y < -6

Question 29

What kind of shift happens with this function?

Accepted Answer

4 points down

Answer

4 points up

Answer

4 points to the left

Answer

4 points to the right

Question 30

What kind of shift  is represented?

Accepted Answer

right 1 unit

Answer

up 1 unit

Answer

left 1 unit

Answer

down 1 unit

Question 31

What transformations occur in the following function?

Accepted Answer

right 3, up 2

Answer

left 3, up 2

Answer

left 3, down 2

Answer

right 3, down 2

Question 32

What is the transformation?

Accepted Answer

Vertical Translation up 2

Answer

Vertical Translation down 2

Answer

Horizontal Translation left 2

Answer

Horizontal Translation right 2

Question 33

What is the transformation?

Accepted Answer

Vertical Translation down 2 and Horizontal Translation left 1

Answer

Vertical Translation up 2 and Horizontal translation right 1

Answer

Horizontal Translation left 2 and Vertical Translation up 1

Answer

Horizontal Translation right 2 and Vertical Translation down 1

Question 34

What is the transformation?

Accepted Answer

Horizontal Translation right 1

Answer

Vertical Translation up 1

Answer

Vertical Translation down 1

Answer

Horizontal Translation left 1

Question 35

Is the function INCREASING or DECREASING?
y = (2/3)^-x

Accepted Answer

Increasing

Answer

Decreasing

Question 36

Does the graph represent an exponential growth or an exponential decay function?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Question 37

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 38

What is the y-intercept of the function $y=4\left(5\right)^x?$

Accepted Answer

(0, 4)

Answer

(0, 0)

Answer

(0, 5)

Question 39

What is the asymptote of the function $y=4\left(5\right)^x?$

Accepted Answer

y = 0

Answer

y = 4

Answer

y = 5

Question 40

For $y=4\left(5\right)^x?$ , how does adding a constant transform the parent function?

Accepted Answer

Vertical Shift

Answer

Horizontal shift

Answer

Reflection over the x-axis

Answer

Reflection over the y-axis

Question 41

For $y=4\left(5\right)^x?$ , how can the coefficient transform the function?

Accepted Answer

Reflection over the x-axis

Answer

Horizontal shift

Answer

Vertical Shift

Answer

Reflection over the y-axis

Question 42

Does the graph represent an exponential growth or an exponential decay function?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Transformation of Exponential Functions

58 questions

What is the parent function of $f(x)=2\cdot\left(\frac{1}{2}\right)^x-7$ ?

What is the transformation of $f(x)=2\cdot\left(\frac{1}{2}\right)^x-7$ ?

What is the parent function of $f(x)=-\frac{1}{3}\cdot(2)^x+3$ ?

What is the transformation of $f(x)=-\frac{1}{3}\cdot(2)^x+3$ ?

What is the parent function of $f(x)=(2)^{x+4}-3$ ?

What is the transformation of $f(x)=(2)^{x+4}-3$ ?

What is the parent function of $f(x)=(3)^{x-2}+1$ ?

What is the transformation of f(x)=(3)^x-2+1

What is the parent function of f(x)=-3(4)^x-2-5

What is the transformation of $f(x)=-3\cdot(4)^{x-2}-5$ ?

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Transformation of Exponential Functions

58 questions

What is the parent function of f(x)=2⋅(12)x−7f(x)=2\cdot\left(\frac{1}{2}\right)^x-7f(x)=2⋅(21​)x−7 ?

What is the transformation of f(x)=2⋅(12)x−7f(x)=2\cdot\left(\frac{1}{2}\right)^x-7f(x)=2⋅(21​)x−7 ?

What is the parent function of f(x)=−13⋅(2)x+3f(x)=-\frac{1}{3}\cdot(2)^x+3f(x)=−31​⋅(2)x+3 ?

What is the transformation of f(x)=−13⋅(2)x+3f(x)=-\frac{1}{3}\cdot(2)^x+3f(x)=−31​⋅(2)x+3 ?

What is the parent function of f(x)=(2)x+4−3f(x)=(2)^{x+4}-3f(x)=(2)x+4−3 ?

What is the transformation of f(x)=(2)x+4−3f(x)=(2)^{x+4}-3f(x)=(2)x+4−3 ?

What is the parent function of f(x)=(3)x−2+1f(x)=(3)^{x-2}+1f(x)=(3)x−2+1 ?

What is the transformation of f(x)=(3)x-2+1

What is the parent function of f(x)=-3(4)x-2-5

What is the transformation of f(x)=−3⋅(4)x−2−5f(x)=-3\cdot(4)^{x-2}-5f(x)=−3⋅(4)x−2−5 ?

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Discover more resources for Mathematics

What is the parent function of $f(x)=2\cdot\left(\frac{1}{2}\right)^x-7$ ?

What is the transformation of $f(x)=2\cdot\left(\frac{1}{2}\right)^x-7$ ?

What is the parent function of $f(x)=-\frac{1}{3}\cdot(2)^x+3$ ?

What is the transformation of $f(x)=-\frac{1}{3}\cdot(2)^x+3$ ?

What is the parent function of $f(x)=(2)^{x+4}-3$ ?

What is the transformation of $f(x)=(2)^{x+4}-3$ ?

What is the parent function of $f(x)=(3)^{x-2}+1$ ?

What is the transformation of f(x)=(3)^x-2+1

What is the parent function of f(x)=-3(4)^x-2-5

What is the transformation of $f(x)=-3\cdot(4)^{x-2}-5$ ?