Graphing Transformations of Log

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

Tags

CCSS.HSF-IF.C.7E

Describe the transformations of f(x)= -log₂(x+1)

• left 1

• left one & over the y-axis

• left one & over the x-axis

• right one & over the x axis

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

Tags

CCSS.HSF-IF.C.7E

Which graph matches the function

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

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.BF.B.3

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

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

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis