Logarithmic Transformations

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

The parent function is  $f\left(x\right)=\log_3\left(x\right)$  

A new function was created from this parent function. Select all the transformations that occured.

 $g\left(x\right)=-2\log_3\left(x\right)$  

• Vertical stretch by 2

• Vertical shrink by 2

• Reflection across the y-axis

• Reflection across the x-axis

This logarithmic function has been shifted left 3 and up 5. What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

Describe the graph of f(x) = log x changed to

f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical shrink by 3 and shift right 1 and 5 units down

• vertical shrink by 3 and shift left 1 and 5 units down

Select all the transformations that apply.

y = log ₅ (x + 1) +1

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 1

• Vertical shift down 1

Tags

CCSS.HSF.BF.B.3

The asymptote of y = log₂(x + 2) will shift...

• right two to x = 2

• left two to x = -2

• not shift and remain x = 0

Tags

CCSS.HSF.BF.B.3

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF-IF.C.7E

Which has a vertical asymptote?

• Exponential
• Logarithmic
• Both

Tags

CCSS.HSF-IF.C.7E

What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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

• left one & y-axis reflection

• right one & y-axis reflection

• left one & x-axis reflection

• right one & x-axis reflection

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7