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Transformations of functions

Authored by Michelle Powell

Mathematics

10th Grade

CCSS covered

Used 5+ times

Transformations of functions
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10 questions

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1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 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.4

CCSS.HSG.CO.A.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3
Shifted up 5 units
Shifted left 3 units
Stretched vertically by a factor of 3
Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 3
Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 1/3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= x2 - 5

shifted up five units
shifted down five units
shifted left five units
shifted right five units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation describes the transformation of shifting f(x)=x3 seven units up?

x3+7
x3-7
(x-7)3
(x+7)3

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the transformations of this functions compared to the parent function y = √(x)?

Shifted right 5, shifted down 2, and reflected over the x-axis
Reflected over the x-axis, vertical stretch, and shifted right 5
Reflected over the x-axis, vertical stretch, and shifted left 5
Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the equation of this graph?

f(x) = (x + 2)2 - 3
f(x) = (x - 2)2 - 3
f(x) = |x + 2| - 3
f(x) = |x - 2| - 3

Tags

CCSS.HSF-IF.C.7D

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