Transforming Functions

Transforming Functions

10th - 12th Grade

16 Qs

quiz-placeholder

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Transforming Functions

Transforming Functions

Assessment

Quiz

Mathematics

10th - 12th Grade

Medium

CCSS
HSF.BF.B.3, HSG.CO.A.2, HSG.CO.A.5

+2

Standards-aligned

Created by

Amanda Lewandowski

Used 3+ times

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16 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

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

What are the transformations?
y=3(x-4)2?

horz shift right 4, vert stretch by a factor of 3
horz shift left 4, vert stretch by a factor of 3
horz shift right 4, vert stretch by a factor of 1/3
horz shift right 4, vert shift up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

-f(x)
f(-x)
f-1(x)
f(2x)

Tags

CCSS.HSF.BF.B.3

6.

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let f(x) = |x + 1|. Which function would have a graph that is 5 units left of the graph of f?

g(x) = |x + 1| + 5

g(x) = |x + 1| - 5

g(x) = |x + 6|

g(x) = |x - 4|

Tags

CCSS.HSF.BF.B.3

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