1. Graphing Absolute Value Equations
ALGEBRA 1 LESSON 6-7
pages 327–329  Exercises
1. Answers may vary.
Sample: same shape,
shifted 3 units up
2. Answers may vary.
shifted 3 units down
3. Answers may vary.
shifted 7 units down 4. 5. 6. 7. 8. 9.
10. y = |x| + 9
11. y = |x| – 6
12. y = |x|
13. y = |x| +
14. y = |x|
15. y = |x| – 1 5 2
6-7

2. Graphing Absolute Value Equations
ALGEBRA 1 LESSON 6-7
16.
17.
18.
19.
20.
21.
22. y = |x + 9|
23. y = |x – 9|
24. y = |x – |
25. y = |x + |
26. y = |x + 0.5|
27. y = |x – 8.2| 5 2 3
28.
29.
30.
31.
6-7

3. Graphing Absolute Value Equations
ALGEBRA 1 LESSON 6-7
32. y = –|x| + 2
33. y = –|x |
34. y = –|x| –
35. y = –|x – 4|
36. B
37.
38.
39.
40.
41. a.
b. (2, 3)
c. Answers may vary.
Sample: The x-coordinate
is the horizontal translation,
and the y-coordinate is
the vertical translation.
d. Use (a, b) for the vertex.
Graph y = x and y = –x
above the vertex.
42. a. b. 3 2
x y
–1 2
0 0
1 2
6-7

4. Graphing Absolute Value Equations
ALGEBRA 1 LESSON 6-7 c. d.
43. a. y = |x|; y = 1
b. –1 and 1
c. y = – x or
y = – x + 2
44. B
45. H
46. A
47. G
48. [4] a. and b.
c. Part (a) graph is shifted
8 units up to get part
(b) graph.
[3] one incorrect graph but correct answer to part (c)
based on graphs drawn OR incorrect answer based
on correct graphs
[2] both graphs incorrect but correct answer to part (c)
based on graphs drawn
[1] both graphs incorrect and no answer given for part (c)
49. y = 5000x – 413,000
50. y = 4000x – 313,000
2 6
1 4 – 1 2 1 2
6-7