Answer:
[tex] {y}^{2}= 12x[/tex]
Step-by-step explanation:
The standard equation of a parabola with vertex at the origin and and directix x=-p is of the form
[tex] {y}^{2} = 4{p}x[/tex]
Where p is simplify the distance from the origin to the directrix.
That is
[tex]p = 3[/tex]
[tex] {y}^{2} = 4 \times 3x[/tex]
This simplifies to
[tex] {y}^{2}= 12x[/tex]
