SOLUTION: Find the equation of parabola, given that v(0,0), F on x-axis passes through (-2,6)

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Question 1119532: Find the equation of parabola, given that v(0,0), F on x-axis passes through (-2,6)
Answer by greenestamps(13209) About Me  (Show Source):
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Given that the vertex is (0,0) and the focus is on the x-axis, the equation of the parabola is

x+=+ay%5E2

The value of a is determined by the given point on the parabola, (-2,6):

-2+=+a%286%5E2%29
-2+=+36a
-1%2F18+=+a

The equation of the parabola is

x+=+%28-1%2F18%29y%5E2