Transformations Parent Functions

Transformations Parent Functions

9th - 12th Grade

32 Qs

quiz-placeholder

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Transformations Parent Functions

Transformations Parent Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.3, 8.F.A.1, HSF-IF.C.7A

+3

Standards-aligned

Created by

Barbara White

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32 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, 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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the transformations to the graph compared to the parent function y=√(x)?

Shifted right 2, shifted up 3, and reflected over the y-axis
Shifted left 2, shifted up 3, and reflected over the y-axis
Shifted left 2, shifted up 3, and reflected over the x-axis
Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

3.

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)2 

Shrink of ⅔
Right 7
Shrink of ⅔
Left 7
Stretch of ⅔
Right 7
Stretch of ⅔
Left 7

5.

MULTIPLE CHOICE QUESTION

45 sec • 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

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

(-2, 5)
(-6, 5)
(-4, 3)
(-4, 7)

7.

MULTIPLE CHOICE QUESTION

45 sec • 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

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