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Quadratic Functions

Learn about quadratic functions, vertex points, and parabolas in Algebra 1 Lesson 10-2. Practice exercises with detailed solutions provided.

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Quadratic Functions

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  1. Quadratic Functions ALGEBRA 1 LESSON 10-2 pages 520–523  Exercises 1.x = 0, (0, 4) 2.x = –1, (–1, –7) 3.x = 4, (4, –25) 4. x = 1.5, (1.5, –1.75) 5. B 6. E 7. C 8. F 9. A 10. D 11. 12. 13. 14. 15.a. 20 ft b. 400 ft2 16.a. 1.25 s b. 31 ft 17. 10-2

  2. Quadratic Functions ALGEBRA 1 LESSON 10-2 18. 19. 20. 21. 22. 23. 24. 25. 26. 10-2

  3. Quadratic Functions ALGEBRA 1 LESSON 10-2 27. 28. 29. 30. 31. 32–34.Answers may vary. Samples are given. 32.y = 2x2 – 8x + 1 33.y = –3x2 34.y = 2x2 + 4 35.a. 1.2 m b. 7.2 m 36.a.y < –0.1x2 + 12 b. c. Yes; when x = 6, y = 8.4, so the camper will fit. 37.a. $12.50 b. $10,000 38. 26 units2 39. 26 units2 10-2

  4. Quadratic Functions ALGEBRA 1 LESSON 10-2 40. Answers may vary. Sample: If the coefficient of the squared term is pos., the vertex point is a min.; if it is neg., the vertex point is a max. 41. Answers may vary. Sample: a affects whether the parabola opens up or down, b affects the axis of symmetry, and c affects the y-intercept. 42.a.w = 13 – b.A = – 2 + 13 c. (6.5, 42.25) d. 6.5 ft by 6.5 ft 43.a. 0.4 s b. No; after 0.6 s, the ball will have a height of about 2.23 m but the net has a height of 2.43 m. 44. 45.a. 0.4 s b. No; it takes about 0.8 s to return to h = 0.5 m, so it will take more time to reach the ground. 10-2

  5. 50.[2] axis of symmetry: x = = 16.7 maximum height: y –0.009(16.7)2 + 0.3(16.7) + 4.5 y 7 ft [1] appropriate methods, but with a minor computational error 51. C 52. A 53. F 54. D 55. B 56. E 46.a. (0, 2) b.x = –2.5 c. 5 d.y = x2 + 5x + 2 e. Answers may vary. Sample: Test (–4, –2). –2 (–4)2 + 5(–4) + 2 –2 16 – 20 + 2 –2 = –2 f. No; you would not be able to determine the b value using the vertex formula. 47. A 48. I 49. B –b 2a –0.3 2(–0.009) Quadratic Functions ALGEBRA 1 LESSON 10-2 10-2

  6. Quadratic Functions ALGEBRA 1 LESSON 10-2 57.c2 – 5c – 36 58. 2x2 + 7x – 30 59. 20t2 + 17t + 3 60. 21n4 – 62n2 + 16 61. 2a3 + 9a2 – a + 20 62. 6r3 + 9r2 – 20r + 7 10-2

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