Linear and Exponential Transformations

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

If b(x) = 3^x, and c(x) = 2b(x - 1) + 7, find c(5).

• 74

• 17

• 169

• 493

Given g(x)=5^x

Write a function that is reflected and translated 4 units to the right.

• f(x)= -5^x-4

• f(x)= -5^x+4

• f(x)= 5^(x-4)

• f(x)= 5^-(x-4)

What is the asymptote value in the function?

• y=3

• y=2

• y=7

• y=0

What is the asymptote of the graph?

• x=2

• y=-2

• y=0

• y=-1

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: (−∞, ∞)

  Range: (0, ∞)

• Domain: (−∞, ∞)

  Range: (1, ∞)

• Domain: (−2, ∞)

  Range: (0, ∞)

• Domain: (−∞, ∞)

  Range: (−∞,0)

Which of the following are considered exponential growths? You may choose more than one answer!

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What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Which of the following are considered to be exponential functions? You may choose more than one answer!

• a(x) = 2x + 5

• b(x) = 3x² + 5x + 8

• c(x) = 4(2)^x-3 + 5

• d(x) = 50 - 3x

• e(x) = 500(0.5)^x

Describe the transformation from the red line to the blue line

• Up 2
• Down 2
• Left 2
• Right 2