Transformations Exponential Functions

What is the a-value of the function?

• 4

• 3

• 2

• 1

Determine the horizontal asymptote for the function

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

• x=4

• y=4

• x=5

• y=5

Which of the following is an exponential decay? (Check all that apply)

• y = 5⋅(1/5)^x

• y = 5⋅(7/2)^x

• y = 5⋅8^x

• y = 5⋅1.5^x

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

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

• y=2^x-3

• y=2^x+3

• y=2^x+3

• y=2^x-3

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• None

• Reflection across the line y=0

What is the transformation?

• Vertical Translation up 1

• Vertical Translation down 1

• Horizontal Translation left 1

• Horizontal Translation right 1

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1

• Vertical Translation down 2 and Horizontal Translation left 1

• Horizontal Translation left 2 and Vertical Translation up 1

• Horizontal Translation right 2 and Vertical Translation down 1

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.

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3