Directions: Complete the problems on the answer sheet provided. All problems must be completed by the end of class to earn full credit. Show all work. 1. Quadratics. The path of the longest shot put by the Women's track team at Sun Devil U is modeled by h(x) =-0.017x2 + 1.08x + 5.6, where x represents the horizontal distance from the start and h(x) is the height of the shot put above the ground. (Both x and h(x) are measured in feet.) a. [4 pts] Determine h(22). Round your answer to 2 decimal places. Then explain what your answer means in the context of the problem. ("In the context of the problem" means "in terms of the shot put's horizontal distance from the start and in terms of the height of the shot put above the ground.") h (22 ) = - 0.017 (22) + 1.08 (22) + 5. 6 when the horizontal h (22) = - 0. 374+ 23. 76 + 5. 4 distance from the start is adfeet, the height of the h (22) = 28. 99 ft . Shot put is 28. 94 fit above the ground. b. [4 pts] Determine the numerical value of the vertical intercept and explain what this means in the context of the problem. The starting h 10 ) = - 0 . 0 17 (0 . ) 2 + 1 . 08 (0 ) + 5. 6 Point is h (0) = 5.6 5. 6 feet off the ground c. [4 pts] Determine the numerical values of the vertex coordinates and explain what they mean in the context of the problem. y = - 0. 017 x8+ 1.08x + 5.4 ( 31.74, 22. 75) h= - 1. 08 21-0.017) = 31. 76, x- value Y = - 0. 017 (31. 76) +1. 08(31.76)+ 5.6 = 22.75 d. [4 pts] How far from the start did the shot put strike the ground? Round your answer to 2 decimal places