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A comet travels along a parabolic path around the sun. the sun is the focus of the path. when the comet is at the vertex of the path, it is 60,000,000 kilometers from the sun. write an equation that represents the path of the comet. assume the focus is on the positive y-axis and the vertex is (0, 0).

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MissPhiladelphia

Hi, thank you for posting your question here at Brainly.

First, the general equation of a parabola is

(x-h)^2 = 4a(y-k), where (h,k) is the vertex and a is the distance from focus to vertex. In this porblem, h = 0, k=0, a = 60,000,000. Then,

x^2 = 460,000000y
x = sqrt(240E+6y)
x = 15492*sqrt(y)

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