Exponential and Logarithmic Functions Transformations

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

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Describe the transformation

• Vertical Stretch by 2, translation 2 units to the left

• Vertical Compression by 2, translation 2 units to the left

• Vertical Stretch by 2, translation 2 units to the right

• Vertical Compression by 2, translation 2 units to the right

Which of the following shows the correct transformation of the graph 2^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 4

• Vertical shift downward by 4

• Horizontal shift to the right by 9

Describe the transformation(s) of the function when compared to its parent function.

• Translation up 2 units and translation right 1 unit

• Translation down 2 units and Translation left 1 unit

• Translation left 2 units and Translation up 1 unit

• Translation right 2 units and Translation down 1 unit

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift upwards by 7

• Horizontal Shift right by 7

• Vertical shift downwards by 7

Which of the following shows the correct transformation of the graph 5^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 10

• Vertical shift to downward by 10

• Horizontal shift to the right by 10