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Transformation of functions review

Authored by Ursula Karazin

Mathematics

9th - 11th Grade

12 Questions

CCSS covered

Used 163+ times

Transformation of functions review
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

The graph of y = f(x) was shifted to the right 5 units. 
The graph of y = f(x) was shifted to the left 5 units. 
The graph of y = f(x) was shifted up 5 units. 
The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation if y = f(x) is replaced with y = - f(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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation to y = f(x) if it is replaced with y= (x - 1) - 5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units
Reflect over x-axis
Shifted up 10 units
Shifted left 6 units
Reflect over y-axis
Shifted up 10 units
Shifted right 6 units
Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

Horizontal shrink by a factor of 1/5
Vertical stretch be a factor of 5
Vertically shrink by a factor of 1/5
 Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

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