Quiz about Transformations of Exponential and Absolute Value Functions

Question 1

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 2

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

Accepted Answer

reflects, left 3, down 6

Answer

It stayed the same

Answer

reflects, up 3, left 6

Answer

reflects, right 3, down 6

Question 3

Describe the transformation(s) of the function when compared to its parent function.

Accepted Answer

Reflected across x-axis

Answer

Translation left 3 units

Answer

Translation down 3 units

Answer

Horizontal stretch by a factor of -1

Question 4

Describe the transformation(s) of the function when compared to its parent function.

Accepted Answer

Translation down 2 units and Translation left 1 unit

Answer

Translation up 2 units and translation right 1 unit

Answer

Translation left 2 units and Translation up 1 unit

Answer

Translation right 2 units and Translation down 1 unit

Question 5

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

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

Accepted Answer

reflects across the x-axis, translate left 3 units, translate down 6 units

Answer

reflects across the x-axis, translate right 3 units, translate up 6 units

Answer

reflects across the x-axis, translate up 3 units, translate left 6 units

Answer

reflects across the x-axis, translate right 3 units, translate down 6 units

Question 6

Given g(x)=(1/2)^x

Write a function that is translated 5 units left and translated 4 units up.

Accepted Answer

f(x)= (1/2)^x+5+ 4

Answer

f(x)= (1/2)^x+4+ 5

Answer

f(x)= (1/2)^x-5- 4

Answer

f(x)= (1/2)^x+5- 4

Question 7

What equation would yield a transformation right 3 units if your initial function was y=2^x

Accepted Answer

y=2x-3

Answer

y=2x-3

Answer

y=2x+3

Answer

y=2x+3

Question 8

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 9

What kind of transformation is represented?

Accepted Answer

right 1 unit

Answer

up 1 unit

Answer

left 1 unit

Answer

down 1 unit

Question 10

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 11

What transformations occur in the following function?

Accepted Answer

right 3, up 2

Answer

right 3, down 2

Question 12

Given g(x)=5^x

Write a function that is reflected over the y-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)

Question 13

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

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 14

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 15

What kind of shift happens with this function?

Accepted Answer

shift 4 units down

Answer

shift 4 units up

Question 16

What is the transformation?

Accepted Answer

Horizontal Translation right 1

Answer

Horizontal Translation left 1

Question 17

What is the transformation?

Accepted Answer

Vertical Translation down 2 and Horizontal Translation left 1

Answer

Vertical Translation up 2 and Horizontal translation left 1

Question 18

What equation would yield a transformation right 3 units if your initial function was y=2^x

Accepted Answer

y=2x-3

Answer

y=2x-3

Answer

y=2x+3

Answer

y=2x+3

Question 19

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 20

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 21

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 22

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

Transformations of Exponential and Absolute Value Functions

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