Transformation of Exponential and Logarithmic Functions

Graph

• A

• B

• C

• D

• Exponential Growth

• Exponential Decay

• Linear Growth

• Logarithmic Growth

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Solve each equation. Round your answers to the nearest ten-thousandth.

• 19.1474

• .9688

• .0971

• -9.0312

log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

What is the transformation?

• Left 5

• Right 5

• Up 5

• Down 5

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

Describe the transformation of y=ln(x) that would give the graph for y = ln(x+7)

• vertical translation 7 up

• vertical translation 7 down
  vertical stretch by a factor of 7

• horizontal translation 7 left

• horizontal translation 7 right