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Basic Transformations of Functions

Authored by Donna Christy

Mathematics

9th - 12th Grade

CCSS covered

Used 58+ times

Basic Transformations of Functions
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the name of this function?

Absolute Value

Cubic

Quadratic

Sine

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.1

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What is the name of this funciton?

linear

quadratic

square root

absolute value

Tags

CCSS.HSA.REI.B.4

3.

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

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

If the blue function is f(x), what is the equation of the red function.

g(x)=f(x + 3)

g(x)=f(x - 3)

g(x)=f(x) + 3

g(x)=f(x) - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Tell how the function transformed from y =|x|

y = -2|x|

Translated left 2 units

Reflected over x-axis

Stretched vertically by a factor of 2 and reflected over x-axis

Compressed vertically by a factor of 2 and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down
a translation shifting f(x) 4 units to the left
a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?

Translation left 2 units

Narrower

Vertical translation up by 2 units.

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

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