Transformation of Functions

Transformation of Functions

9th - 12th Grade

10 Qs

quiz-placeholder

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Transformation of Functions

Transformation of Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.BF.B.3, HSA.CED.A.2, HSF.IF.B.4

+5

Standards-aligned

Created by

Mary Hunter

Used 22+ times

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10 questions

Show all answers

1.

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 of 2, and shifted right 5

Reflected over the x-axis, vertical stretch of 2, and shifted left 5

Shifted right 5, shifted down 2

2.

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation describes the transformation of shifting f(x)=x2 two units right?

x2 + 2
x2 - 2
(x + 2)2
(x - 2)2

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

  The blue function is the original function f(x) = x3.  Which of the following is the correct equation for the red function, g(x)?

g(x)=x3+1
g(x)=x3-1
g(x)=(x-1)3
g(x)=(x+1)3

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the original function is f(x) then state the transformation that takes f(x) to g(x) = -|x + 3|

Reflect over y-axis

Left 3

Reflect over y-axis

Right 3

Reflect over x-axis

Left 3

Reflect over x-axis

Right 3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

f(x) = −(x−2)3−1
f(x) = −(x+2)3−1
f(x) = −(x−2)3 + 1
f(x) = −(x+2)3 + 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

f(x)=3∣x−2∣−2
f(x)=1/3∣x+2∣−2
f(x)=3∣x+2∣−2
f(x) = 1/3∣x−2∣+2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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