Transform Logarithm Graphs

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

f(x)=2ln(x+2)

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

f(x)=¼ ln(x - 2) + 3 Describe the transformation

• Vertical Stretch by 1/4, translation 2 units right, 3 units up

• Vertical Compression by 1/4, translation 2 units right, 3 units up

• Vertical Stretch by 1/4, translation 2 units left, 3 units up

• Vertical Compression by 1/4, translation 2 units left, 3 units up

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

How has the graph transformed?

Red is parent graph

Blue is transformation

• left 1 up 6

• left 2 up 4

• left 2 up 6

• up 6

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

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What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5