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Flights of leaping animals typically have parabolic paths. Find the standard equation of the frogs leap.?

Flights of leaping animals typically have parabolic paths. The length of the leap is 9 feet, and the maximum height off the ground is 3a feet. Find a standard equation for the path of the frog. Assume a = 0.5.

Please help, I keep coming up with y=.5(x-4.5)^2+1.5 and it says that's wrong.

1 Answer

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  • 9 years ago
    Favorite Answer

    x = 9

    y = 0

    a = 0.5

    Vertex (h, k)

    h = 1/2 x

    h = 9/2

    k = 3a

    k = 3(0.5)

    k = 3/2

    y = a(x - h)² + k

    y = 0.5 (x - 9/2)² + 3/2, or

    y = 0.5 (x - 4.5)² + 1.5

    ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

    You are correct.

     

    Source(s): 3/23/12
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