Algebra 1 Common Core Student Edition, Grade 8-9

§3 ^ Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Practice Describe how each graph is related to the graph of y = \ x |.

MATHEMATICAL

PRACTICES

See Problem 1.

Graph each function by translatingy =: M • See Problem 2.

II 1 CO 10.

y= |x|+^711 .y=\x\+ 3

12. y = x| —^6 13.y =I jc|+^6 14.y= X - 2.5

Graph each function by translatingy =: |X|• ♦ See Problem 3.

15. y = \x - 3 16.y=\x+ 31 17.y=|x- l|


16. y = |jc + 6 19.y= \x-7 |^20 .y =|x + 2.51


17. Postage The table lists postage for letters w eighing as m u ch as 3 oz. You w ant
    to m ail a letter th at weighs 2.7 oz. G raph the step function. How m u ch will
    you pay in postage?
    First-Class Postage

See Problem 4.

0 < Weight <1oz $.44

1 oz < Weight < 2 oz ---------$.61

2 oz < Weight < 3 oz $.78

Q Apply At the right is the graph of y = - 1 x |. Graph e ach function by translating

y = - \ x\.

23. y = — |jc| — 3


24. y = -\x ~ 3|


25. y = — |jc| + 3


26. y = - | x + 3|

Write an equation for each translation of y = — | x |.

26. 2 u n its up 27. 2.25 u n its left


27. 15 u n i t s d o w n 29. 4 u n its right


28. W riting Explain how the relationship betw een y = |x| an d y = |x| + k is sim ilar to
    th e relationship b etw een y = mx an d y = mx + b.

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