The Standard form of the equation of the Parabola using Focus F(0,-a) and the directrix y=a is given by
[tex] x^2=-4ay [/tex]
To Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3:
Here a=3, Plug in a=3 in [tex] x^2=-4ay [/tex]
Thus we get
[tex] x^2=-4(3)y\\ x^2=-12y [/tex]
which is the standard form of the equation of the parabola.
