Answer:
[tex] {y}^{2} = 24x[/tex]
Step-by-step explanation:
This is horizontal parabola.
It has a directrix at x=-6.
The vertex is (0,0).
The focus is (6,0)
The equation of this parabola is of the form
[tex] {y}^{2} = 4px[/tex]
Where (p,0) is the focus
By comparison, p=6
Therefore the equation of the parabola is
[tex] {y}^{2} = 4 \times 6x[/tex]
This implies that
[tex] {y}^{2} =2 4 x[/tex]
