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Function Transformations

Authored by Tiffany Sims

Mathematics

9th Grade

CCSS covered

Used 237+ times

Function Transformations
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19 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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.10

CCSS.HSA.REI.D.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

f(x) has been translated to the left one and down five.
f(x) has been translated to the right one and down five.
f(x) has been translated to the left one and up five.
f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?

a vertical translation 4 units up
a vertical translation 4 units down
a horizontal translation 4 units to the left
a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the parent function p(x)=cos(x), which phrase best describes the transformation used to obtain the graph of g(x)=cos(x+a) - b, if a and b are positive constants?

Right a units, up b units

Right a units, down b units

Left a units, up b units

Left a units, down b units

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred

p(x) = f(x + 3)

Right 3 units

Vertical Stretch

Up 3 units

Left 3 units

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred.

h(x) = f(x) + 2

up 2 units

left 2 units

Vertical Strech

right 2 units

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation that occurred.

w(x) = f(x - 7)

Down 7

Up 7

Right 7

vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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