(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