Logarithmic Transformations

Describe one of the transformations of the logarithmic function from the parent function.

• Translated 1 unit right

• Reflected over the x-axis

• Translated 2 units down

• Horizontal dilation of 1/2

Describe the transformations of the logarithmic functions from the parent function. Check all that apply.

• Reflected over the x-axis.

• Dilated vertically by a factor of 1/2 with respect to the x-axis.

• Reflected over the y-axis

• Translated 1 unit left and 2 units down

Select all the transformations that apply.

y = 2 log ₅ (x + 1)

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical stretch

• Vertical compression

Select all the transformations that apply.

y = log ₆ (x - 1) - 5

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 5

• Vertical shift down 5

Match the graph with its equation

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x)-1

Classify the following graph.

• Exponential

• Quadratic

• Logarithmic

• Linear

What's the corresponding graph of

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• 
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What is the equation of the vertical asymptote?

• x = -2

• y = -2

• x = 1

• y = 1

Match the graph with its equation.

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1