The standard form of the equation of the parabola is [tex]y^2=2px[/tex], where p is distance between parabola focus and directrix and parabola branches go in positive direction of x-axis.
Since focus is at (-2, 0) and a directrix at x = 2, the distance between parabola focus and directrix is 4 units. The parabola vertex lies at the origin and the branches go in negative direction of x-axis (because focus lies on the left side from directrix). Then the equation of parabola is:
[tex]y^2=-8x[/tex].
