PLEASE SHOW ALL WORK AND EXPLAIN

1. Quadratics.

The path of the longest shot put by the Women's track team at Sun Devil U is modeled by the function

h(x) = -0.015x2 + 1.25x + 5.2, 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. Determine h(24). 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.")

b. Determine the numerical value of the vertical intercept and explain what this means in the context of the problem. Show your work.

c. Determine the numerical values of the vertex coordinates and explain what they mean in the context of the problem. Show your work.

d. How far from the start did the shot put strike the ground? Round your answer to one decimal place. Show your work.