Log and Exponential Review

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

• y = 0

• y = -3

• x = 0

• x = -3

Which equation matches this graph?

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What is the transformation?

• Left 5
• Right 5
• Up 5
• Down 5

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

Which exponential equation could represent the graph shown?

Determine the horizontal asymptote for the function

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

• x=4

• y=4

• x=5

• y=5

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Select all of the transformations of f(x)=lnx that produce the function

g(x)= − lnx+3

• vertical stretch by e

• Reflection over the y-axis

• Translation 3 units left

• Reflection over the x-axis

• Translation 3 units up

Select all of the transformations of f(x)=log₅x that produce the function g(x)=8log₅(x-4)

• Vertical stretch by a factor of 8

• Vertical stretch by 5

• Translation 4 units left

• Translation 4 units right

• Translation 4 units down

Describe the transformations of f(x)= -log₂(x+1)

• left one & y-axis reflection
• right one & y-axis reflection
• left one & x-axis reflection
• right one & x-axis reflection