Question

Please help!!Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.

Answer 1

The Standard form of the equation of the Parabola using Focus F(0,-a) and the directrix y=a is given by

`x^2=-4ay`

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
`x^2=-4ay`

Thus we get

`x^2=-4(3)y\\ x^2=-12y`

which is the standard form of the equation of the parabola.