Quiz about Transformation of Exponential Functions

Question 1

What is the transformation?

Accepted Answer

Reflection across the line y=0

Answer

Horizontal Translation left 2

Answer

Vertical Translation down 2

Answer

None

Question 2

What is "a", the initial value, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 3

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 4

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 5

The graph g\left(x\right)=2^{\left(x-3\right)} is shown, which statement best describes the transformation from the parent graph f\left(x\right)=2^x.

Accepted Answer

Horizontally shift right 3

Answer

Vertically shift up 3

Answer

Vertically shift down 3

Answer

Horizontally shift left 3

Question 6

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

Accepted Answer

$$y=4^x-2$$

Answer

$$y=4^{\left(x-2\right)}$$

Answer

$$y=4^x+2$$

Answer

$$y=4^{\left(x+2\right)}$$

Question 8

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Accepted Answer

Horizontal shift left one unit

Answer

Horizontal shift right one unit

Answer

Vertical shift up one unit

Answer

Vertical shift down one unit

Question 9

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

Accepted Answer

left 3, down 6

Answer

It stayed the same

Answer

up 3, left 6

Answer

right 3, down 6

Question 10

Write the equation for the transformation if the parent function is $$f\left(x\right)=2^x$$ .

Accepted Answer

f(x)=2^x-1-3

Answer

f(x)=2^x-1+3

Answer

f(x)=2^x+1-3

Answer

f(x)=2^x+1+3

Question 11

Determine the horizontal asymptote for the function

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

Accepted Answer

y=5

Answer

x=4

Answer

y=4

Answer

x=5

Question 12

What is the parent function

Accepted Answer

y = 2x

Answer

y = 2x

Answer

y = 2x+1

Answer

y = 2^x - 3

Question 13

Use the graph of y = 2^x+1- 3.

What is the transformations from the parent function y = 2^x

Accepted Answer

Translated left 1 and down 3

Answer

Translated right 1 and down 3

Answer

Translated up 1 and left 3

Answer

Stretched by 2 and translated down 3

Question 14

If y = -2^{x - 3}, what is the transformation form its parent function?

Accepted Answer

Reflected about the x-axis and translated right 3

Answer

Translated left 3

Answer

Translated Right 3

Answer

Reflected about the x-axis and translated left 3

Question 15

Given g(x)=5^x
Write a function that is reflected over the line x=0 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)

Transformation of Exponential Functions

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