Exploring Quadratic Graphs ALGEBRA 1 LESSON 10-1 pages 513–516  Exercises 1. (2, 5); max. 2. (–3, –2); min. 3. (2, 1); min. 4. 5. 6. 7. 8. 9. 10. y = x2, y = 3x2, y = 4x2 11. ƒ(x) = x2, ƒ(x) = x2, ƒ(x) = 5x2 12. y = – x2, y = – x2, y = 5x2 13. ƒ(x) = – x2, ƒ(x) = –2x2, ƒ(x) = –4x2 14. 1 2 1 3 1 4 1 2 2 3 10-1

Exploring Quadratic Graphs ALGEBRA 1 LESSON 10-1 21. E 22. A 23. F 24. B 25. C 26. D 27. The graph of y = 2x2 is narrower. 28. The graph of y = –x2 opens downward. 29. The graph of y = 1.5x2 30. The graph of y = x2 is wider. 15. 16. 17. 18. 19. 20. 1 2 10-1

Exploring Quadratic Graphs ALGEBRA 1 LESSON 10-1 31. 32. 33. 34. 35. 36. 37. 38. a. b. 184 ft c. 56 ft 39. a. 0 < r < 6 b. 0 < A < 36 113.1 c. 10-1

Exploring Quadratic Graphs ALGEBRA 1 LESSON 10-1 40. K, L 41. M 42. K 43. M 44. Answers may vary. Sample: a. y = 5x2 b. y = –5x2 c. y = 3x2 45. a. b. 16 ft c. No; the apple falls 48 ft from t = 1 to t = 2, because it is accelerating. 46. a. c 0 and a and c have opp. signs. b. c 0 and a and c have the same signs. 47. a. b. 0 < x < 12; the side length of the square garden must be less than the width of the patio. c. 96 < A < 240; as the side length of the garden increases from 0 to 12, the area of the patio decreases from 240 to 96. d. about 6 ft = / = / 10-1

Exploring Quadratic Graphs ALGEBRA 1 LESSON 10-1 50. B 51. G 52. D 53. [4] a. b. 3.5 s [3] estimate incorrect or missing [2] error in table or graph [1] table OR reasonable graph only 48. a. a > 0 b. |a| > 1 49. a. b. t h 0 200 1 184 2 136 3   56 4 –56 10-1

Exploring Quadratic Graphs ALGEBRA 1 LESSON 10-1 54. (x2 + 2)(x – 4) 55. (3a2 – 2)(5a – 6) 56. (7b2 + 1)(b + 2) 57. (y + 2)(y – 2)(y + 3) 58. 2n(n + 3)(n – 4) 59. 3m(2m + 3)(5m + 1) 60. 15x2 – 20x 61. 9n2 – 63n 62. –12t 3 + 22t 2 63. 12m6 – 4m5 + 20m2 64. –15y6 – 10y4 + 20y 65. –12c5 + 21c4 – 24c3 66. 15 balloons 10-1