Transformations of Functions

Transformations of Functions

8th Grade

11 Qs

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Transformations of Functions

Transformations of Functions

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Medium

CCSS
HSF.BF.B.3, HSF-IF.C.7A, HSA.REI.D.11

+5

Standards-aligned

Created by

ADAM FRYS

Used 79+ times

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11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

Media Image

If the blue function is f(x)=x2, then the red function must be

g(x)=x2-5
g(x)=x2+5
g(x)=(x-5)2
g(x)=(x+5)2

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

45 sec • 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

45 sec • 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

45 sec • 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

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?

Left 3 and up 5
Right 3 and down 5
Left 3 and down 5
Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

6.

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

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

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

7.

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

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