33. f(x) = x² + 2x 34. f(x) = x² – 4x 35. f(x) = -x – 6x 36. f(x) = -x² + 4x 37. f(x) = x? + 2x – 8 38. f(x) = x² - 2x – 3 39. f(x) = x² + 2x + 1 40. f(x) = x² + 6x + 9 146 CHAPTER 3 Linear and Quadratic Eunetions 41. f(x) = 2x? – x + 2 45. f(x) = 3x2 + 6x + 2 42. f(x) = 4x? – 2x + 1 \43. f(x) = -2x? + 2x – 3 46. f(x) = 2x² + 5x + 3 44. f(x) = -3x² + 3x – 2 -X 47. f(x) = -4x – 6x + 2 48. f(x) = 3x2 – &r + 2 %3D

A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.     What is the maximum height of the penny above the ground?

1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes is a function of the number of people, n, in attendance. Analysis of recent price and attendance data suggests that for a weekday matinee showing, if the price of a ticket is set at p dollars, then the number of people in attendance is given by n = 240 – 12p. (a) At what price will no one attend the showing? (b) How many people will attend if prices are set at the regular price of $12? What income will the theater earn at this price? (c) Write an equation that describes the income, I, that the theater will earn in terms of the ticket price, р. (d) At what price should tickets be sold to earn the greatest ticket income from the matinee show? What income will the theater earn at this price?