Logarithmic Graph

Which equation is the inverse of the equation above?

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Which function has a vertical asymptote?

• exponential

• logarithm

• both

• neither

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

What's the corresponding graph of

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f(x)=log₅(x+4) - 2

Describe the asymptote

• Horizontal Asymptote x = -4

• Vertical Asymptote x = -4

• Horizontal Asymptote x = 4

• Vertical Asymptote x = 4

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 range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

f(x)=log₅(x+4) - 2

Find the Domain and Range

• Domain: x ≥ -4

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -4

• Domain: x > -4

  Range: all real numbers

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