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  5. 3.1 Absolute Value Graphs
3.1 Absolute Value Graphs

3.1 Absolute Value Graphs

Assessment

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•
CCSS
6.NS.B.3, HSF-IF.C.7D, 8.F.A.1

+1

Standards-aligned

Created by

Jordan Marlar

Used 16+ times

FREE Resource

13 Slides • 21 Questions

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5

Fill in the Blanks

The absolute value graph looks like what letter?

6

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8

Draw

Draw a graph that has a maximum.

9

Multiple Choice

Question image

Does this graph have a maximum or minimum?

1

Maximum

2

Minimum

10

Multiple Choice

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What is the vertex of the graph?

1

(-3, 1)

2

(-3, -1)

3

(1, -3)

4

(3, 1)

11

Multiple Choice

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What is the vertex of this graph?

1

(0, 1)

2

(7, 0)

3

(3, 4)

4

(4, 3)

12

Multiple Choice

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Does this graph have a maximum or minimum?

1

Maximum

2

Minimum

13

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14

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15

Multiple Choice

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What is the domain of the graph?

1
y≥1
2
x ≥ 1
3
All real numbers
4
none of these

16

Multiple Choice

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What is the range of the graph?

1

y ≥ 1

2

x ≥ 1

3
All real numbers
4
none of these

17

Multiple Choice

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What is the domain of the absolute value function?

1
(4, 0)
2
(0, 4)
3

(-∞, ∞)

4

[4, ∞)

18

Multiple Choice

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Describe the range of the given absolute value function.

1

all real numbers less than or equal to -2

2

all real numbers greater than -2

3

all real numbers less than or equal to 0

4

all real numbers

19

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20

Multiple Choice

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What is the equation of the absolute value function?
1
f(x)= |x+4|
2
f(x)= |x-4|
3
f(x)= |x| + 4
4
f(x)= |x| - 4

21

Multiple Choice

y = |x| - 7 makes the graph slide . . .
1
left 7
2
right 7
3
up 7
4
down 7

22

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23

Multiple Choice

Choose the equation that matches the transformation:

--Reflection over the x-axis

1

y=−∣x∣y=-|x|

2

y=∣−x∣y=|-x|

3

y=12∣x∣y=\frac{1}{2}|x|

4

y=2∣x∣y=2|x|

24

Multiple Choice

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 
1
Left 4
2
Right 4
3
Up 4
4
Down 4

25

Multiple Choice

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Determine the transformation
1
Left 5, up 1
2
Left 5, down 1
3
Right 5, up 1
4
Right 5, down 1

26

Multiple Choice

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Determine the transformation 
1
left 3, up 2
2
right 3, up 2
3
left 3, down 2
4
right 3, down 2

27

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28

Multiple Choice

Choose the equation that matches the transformation:
Vertical compression by a factor of 1/9

1

y=∣x∣+9y=|x|+9

2

y=∣x∣ −9y=|x|\ -9

3

y=19∣x∣y=\frac{1}{9}|x|

4

y=9∣x∣y=9|x|

29

Multiple Choice

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

Horizontal compress by a factor of 1/5

2

Horizontal stretch by a factor of 5

3

Vertical compress by a factor of 1/5

4

Vertical stretch by a factor of 5

30

Multiple Choice

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

1

Horizontal compress by a factor of 1/5

2

Horizontal stretch by a factor of 5

3

Vertical compress by a factor of 1/5

4

Vertical stretch by a factor of 5

31

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32

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33

Multiple Choice

Question image
Determine the vertex for each absolute value function
1
(-3, -1)
2
(-3, 1)
3
(3, -1)
4
(3, 1)

34

Multiple Choice

Question image
Determine the vertex of the function
1
(-2, 5)
2
(-2, -5)
3
(2, 5)
4
(2, -5)
pattern-tertiary
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