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| + 0.25 13. y = |x| + 14. y = |x| + 5.90 15. y = |x| – 1 5 2 6-7

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

Graphing Absolute Value Equations ALGEBRA 1 LESSON 6-7 32. y = –|x| + 2 33. y = –|x + 2.25| 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

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 51. 12 5 2 6 52. 4 1 1 4 53. 2.5 14 –2.0 10.7 1 2 1 2 6-7