Transformations of Exponential Functions

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

Given the original exponential function defined by y=4^x, how would the graph change if the function were: y=2(4)^x-3+1?

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

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

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

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

Which of the following are TRUE about the function? (Choose all that apply)

• The exponential decay has been reflected.

• The exponential growth has been reflected.

• The function has been shifted down 2 units.

• The function has an growth rate of 2.

Which represents exponential decay?

• A

• B

• C

• D

If this exponential graph had the following transformation(s), where would the new y-intercept be located?

Which of the following shows the correct transformation of the graph 5^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 10

• Vertical shift to downward by 10

• Horizontal shift to the right by 10

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift upwards by 7

• Horizontal Shift right by 7

• Vertical shift downwards by 7

Which of the following shows the correct transformation of the graph 2^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 4

• Vertical shift downward by 4

• Horizontal shift to the right by 9

What is the a-value of the function?

• 4

• 3

• 2

• 1