SOLUTION: Find an equation of the parabola with vertex at the origin and latus rectum having endpoints at (3, 6) and (3, -6).

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Question 1164213: Find an equation of the parabola with vertex at the origin and latus rectum having endpoints at (3,
6) and (3, -6).
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
(y-k)² = 4p(x - h)

Since the vertex = (h, k) = (0, 0),

(y-0)² = 4p(x - 0)

    y² = 4px

Since the latus rectum = 4p, the desired equation is

    y² = 12x



The blue line is the latus rectum.  Notice that it goes from (3,6) to (3,-6)

Edwin