12 CHAPTER 1 Graphs 37. x y 3 3 –3 –3 38. x y 3 3 –3 –3 39. x y 8 –8 8 –8 40. x y 5 –5 5 –5 In Problems 41–52, graph each equation by plotting points. Verify your results using a graphing utility. 41. y x 2 = + 42. y x 6 = − 43. y x2 8 = + 44. y x3 9 = − 45. y x 1 2 = − 46. y x 9 2 = − 47. y x 4 2 = − + 48. y x 1 2 = − + 49. x y 2 3 6 + = 50. x y 5 2 10 + = 51. x y 9 4 36 2 + = 52. x y 4 4 2 + = In Problems 53–60, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window. 53. y x2 13 = − 54. y x3 14 = − + 55. y x2 15 2 = − 56. y x3 19 2 = − + 57. x y 3 2 43 − = 58. x y 4 5 82 + = 59. x y 5 3 37 2 + = 60. x y 2 3 35 2 − = 61. If the point 2, 5 ( ) is shifted 3 units right and 2 units down, what are its new coordinates? 62. If the point 1, 6 ( ) − is shifted 2 units left and 4 units up, what are its new coordinates? 63. Shot-put Throw The graph below shows the height y, in feet, of a shot (metal ball) thrown by a shot-putter after it has traveled x feet horizontally. 0 0 5 10 15 Horizontal Distance (ft) 20 25 30 35 40 45 50 55 5 10 15 Vertical Height (ft) 20 25 30 35 40 (0, 6) (23.2, 34.1) (48.7, 0) y x (a) What is the height of the shot after it has traveled 10 feet horizontally? (b) How far has the shot traveled when its height is at a maximum? What is the maximum height? (c) Identify and interpret the intercepts. 64. Discus Throw The graph below shows the height h, in meters, of a discus t seconds after it is thrown. 0 0 5 6 10 15 Time (seconds) 20 10 Height (meters) 20 30 40 (0, 2) (12, 36) (18, 0) h t (a) What is the height of the discus after 6 seconds? Applications and Extensions (b) When does the discus reach its maximum height? What is the maximum height? (c) Identify and interpret the intercepts. 65. Movie Membership A movie theater offers a monthly membership for avid movie lovers. The graph below shows the relation between the monthly cost C and the number of movies seen m. 0 0 5 10 15 Number of Movies Seen 20 25 30 35 40 80 120 Monthly Cost ($) 160 200 240 280 320 (0, 19.95) (12, 19.95) (25, 182.45) (32, 269.95) m C (a) What is the cost of watching 5 movies in a month? 10 movies? (b) What is the cost of watching 25 movies in a month? (c) Identify and interpret the intercept. 66. Bicycle Motion Caleb rides home from his friend’s house on his bicycle.The graph below shows his distance d from his house after m minutes. 0 0 5 10 15 20 25 Time (minutes) 30 1 2 Distance (miles) 3 (10, 1.5) (20, 1) (28, 0) m d (continued)
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