The path of a diver diving into the water is approximately parabolic. Diving Timelapse The function h (t) = -2t^2+3t+9 h (t) = - 2 t 2 + 3 t + 9 most closely represents the height (h) of the diver in feet after t seconds. How high does the diver reach? Round to the nearest tenth. Hint: Make sure you include units. A space is needed between the number and unit. Example: 34.8 feet

Question

Mathematics

Arely Valenzuela

7 July, 10:40

The path of a diver diving into the water is approximately parabolic. Diving Timelapse The function h (t) = -2t^2+3t+9 h (t) = - 2 t 2 + 3 t + 9 most closely represents the height (h) of the diver in feet after t seconds. How high does the diver reach? Round to the nearest tenth. Hint: Make sure you include units. A space is needed between the number and unit. Example: 34.8 feet

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Elijah Castaneda · Answer 1

10.125 feet

Step-by-step explanation:

h (t) = - 2t² + 3t + 9

The maximum height is at the vertex of the parabola. For a parabola ax² + bx + c, the vertex is at x = - b / (2a).

t = - 3 / (2*-2)

t = 3/4

h (3/4) = - 2 (3/4) ² + 3 (3/4) + 9

h (3/4) = - 9/8 + 9/4 + 9

h (3/4) = 81/8

h (3/4) = 10.125 feet