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Transformation of Linear Functions

Authored by Jamieka Wilkinson

Mathematics

9th - 12th Grade

CCSS covered

Used 229+ times

Transformation of Linear Functions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Translation left 2 units
Translation right 2 units
Vertical translation up by 2 units.
Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which transformation on

f(x) = x

is g(x) = -f(x)

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How did the equation shift from the parent function?

y = f(x) + c

Shifted up "c" units

Shifted down "c" units

Stretches vertically

Shifted right "c" units

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

g(x) = f(7x) + 3
g(x) = 3f(x) - 7
g(x) = f(3x) + 7
g(x) = 7x - 3

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How did the equation shift from the parent function? y = f(x + 7)

Up 7
Down 7
Left 7
Right 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

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