the path the dolphin travels can be modeled by h= -0.2d^2 + 2d,

Question

a bottlenose dolphin is jumping out of the water. where "h" represents the height of the dolphin and "d" represents the horizontal distance.  how do i find the maximum height the dolphin reaches? how far did th dolphin jump?

Answer 1

h = -0.2d² + 2d

h = -0.2(d² - 10d + 25) + 5             Completion of the square

h = -0.2(d - 5)² + 5                        The vertex (the top of the dolphin's jump) is at (5, 5).

 

No unit of measure is given.