Graph of Logarithmic Function

f(x)=log₅(x+4) - 2

Describe the transformation

• translation 4 units to the right, 2 units down

• translation 4 units to the left, 2 units down

• translation 4 units to the up, 2 units right

• translation 4 units to the up, 2 units left

Describe the transformation on

• The graph has been shifted 3 units up

• The graph has been shifted 3 units to the right

• The graph has been shifted 2 units right

• The graph has been shifted 3 units left

Which graph is logarithmic

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What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

What is the interval where the graph is decreasing?

f(x)=log₂(x+1)

• (-∞,∞)

• (-4,∞)

• (-4,9)

• (∞, -4)

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Describe the transformations from the parent function y=log₆x to y = - log ₆ (x - 1) - 5

• Reflection about the x-axis; shift left one and up five

• Reflection about the x-axis; shift left one and down five

• Reflection about the y-axis; shift right one and down five

• Reflection about the x-axis; shift right one and down five

• x=1

• x=-1

• y=1

• y=-1

Which function best describes the following graph?

• y = Log₂ X

• 2^x = y

• y = 1/(2x)

• (1/2)^x = y