A parabola can be drawn given a focus of (3,-3) and the directrix of y=-1. What can be said about the parabola

Question

The parabola has a vertex at( , ) has a p-value of____ and it’s opens up, opens down, opens left, opens right ?

Answer 1

If you sketch the directrix and the focus, the vertex is halfway between them. It would be (3,-2)

The p value is the distance from the focus to the vertex and the distance between the vertex and the directrix (they are the same) p=1.

The direction of the focus from the vertex will show which way it opens. The one opens down.