Transforming Log and Exponential Graphs

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

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

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Which graph matches the function

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

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Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Tags

CCSS.HSF-IF.C.7E

What's the corresponding graph of

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Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.BF.B.3

What's the corresponding graph of

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Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF-IF.C.7E