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Transformations of Logarithmic Functions

Authored by Tiffany Peery

Mathematics

9th - 12th Grade

CCSS covered

Used 241+ times

Transformations of Logarithmic Functions
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22 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Media Image

Determine the order of transformations

left 1, reflected over x-axis
up 1, reflected over y-axis
right 1, reflected over x-axis
left 1, reflected over y-axis

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

2.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Select all the transformations that apply.

y = log 6 (x - 1) - 5

Horizontal shift left 1

Horizontal shift right 1

Vertical shift up 5

Vertical shift down 5

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

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

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

5.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Select all the transformations that apply.

y = 3log 3 (2x)

Vertical stretch by 3

Vertical shrink by 1/3

Horizontal shrink by 1/2

Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

In the general log function 
y = a*logb(x-h)+k, what letter tells us if the function has moved left or right?

a
b
h
k

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What transformation is occurring vertically? y = 2/3 log x

stretch

compression

Tags

CCSS.HSF.BF.B.3

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