5-8 Practice - K Rohlwing

Name

Class

Date

5-8 Practice Graphing Absolute Value Functions

Form K

Describe how each graph is related to the graph of y U x U .

1.

y

2

2 O 2

x translated 1 unit

2

up

2.

y

2

2 O 2

x translated 1 unit

2

to the left

Graph each function by translating y U x U .

HS3M. 1y1_A1U xTRU _05208_T07501

y

4

2

4 2 O 2

x 24

4

4. y U x U H5SM11_A1TR_05058._yT075U0x2U 3

2y

4y

4 2 O 2

x 24

2 4 2 O

x 24

4

2

6

4

8

6

Write an equation for each translation of y U x U .

H6S. M61u1nAit1sTuRp_0y508_|xA| NT0601 HSM11A1TR_05078. _4AuNnTi0ts0d2ownHSyM11|xA| 1TR4_0508_ANT003

8. 2.2 units down y |x| 2.2

9. 3.9 units up y |x| 3.9

Graph each function by translating y U x U .

10. y U x 7 U

11. y U x 4 U

12 y

8

4

12 8 4 O 4

x 4

8

12 y 8 4

4 O

4

4

8

x 8 12

12. y U x 5 U

12 y

8

4

12 8 4 O 4

x 4

8

HSM11A1TR_0508_ANT005 HSM11A1TR_0508_ANT006 HSM11A1TR_0508_ANT007

1SFOUJDF)BMM'PVOEBUJPOT"MHFCSB t Teaching Resources

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75

Name

Class

Date

5-8

Practice (continued)

Graphing Absolute Value Functions

Form K

Write an equation for each translation of y 5 u x u .

13. left 6 units y 5 |x 1 6|

14. right 5 units y 5 |x 2 5|

15.

left

1 3

units

y 5 |x 1 13|

16.

right

3 4

units

y 5 |x 2 34|

At the right is the graph of y 5 2u x u . Graph each function by translating y 5 2u x u .

17. y 5 2u x u 2 1

y 2

4 2 O

2

2

x 4

4

6

18. y 5 2u x 1 3 u

y 4

2

4 2 O 2

x 24

4

y

2

O

x

2

2

2

Write an equation for each translation of y 5 2?x....

19. 3 units down y 5 2|x| 2 3

20. 6 units left y 5 2|x 1 6|

21. 6.85 units up y 5 2|x| 1 6.85

22. 0.75 units right y 5 2|x 2 0.75|

23. Writing Describe the di erence between adding a constant k inside the absolute value (y 5 u x 1 k u) and outside the absolute value (y 5 u x u 1 k).

Adding a constant on the inside of the absolute value shifts the vertex to the left or right. Adding a constant on the outside of the absolute value shifts the vertex up or down.

Graph each translation of y 5 u x u . Describe how the graph is related to the graph of y 5 u x u .

24. y 5 u x 1 1 u 2 4

25. y 5 u x 2 3 u 1 2

y 2

4 2 O

2

2

4

6

x 4

moved left 1 and down 4

6y

4

2

4 O 2

x 2468

4

moved right 3 and up 2

Prentice Hall Foundations Algebra 1 ? Teaching Resources

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