Translating Exponential Functions

Name the parent function.

• square root

• quadratic

• cubic

• exponential

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

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

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

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

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

• Growth

• Decay

• Linear

• None

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

• Growth

• Decay

• Linear

• None

Classify the function, f(x) = 6.5(0.85)^x.

• exponential growth

• exponential decay

• positive linear

• negative linear

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

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

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

What is the asymptote of this function?

• y = 0

• y = 5

• y = 2

• y = 1

Is the graph linear, exponential, or neither?

• Linear

• Exponential

• Neither