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1.2 Transformations of Functions

Authored by Evan Adams

Mathematics

9th - 12th Grade

CCSS covered

Used 7+ times

1.2 Transformations of Functions
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14 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

Media Image

If the blue function is f(x)=x2, then the red function must be

g(x)=x2-5
g(x)=x2+5
g(x)=(x-5)2
g(x)=(x+5)2

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

2.

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

Media Image

Match the equation to its description.

Right 2 and up 2
Left 2 and up 2
Right 2 and down 2
Left 2 and down 2

Tags

CCSS.HSF-IF.C.7A

3.

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

f(x) has been reflected over the x-axis.
f(x) has been reflected over the y-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.5

4.

MULTIPLE CHOICE QUESTION

2 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

5.

MULTIPLE CHOICE QUESTION

2 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

6.

MULTIPLE CHOICE QUESTION

2 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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How did the equation shift from the parent function? y = f(x - 4)

Shift right by 4

Shift left by 4

Horizontal Stretch by 4

Vertical Stretch by 4

Shift down by 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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