A parabola can be drawn given a focus of (7, -7) and a directrix of x=11. What can be said about the parabola? The Parabola has a vertex a ( ? , ? ), has a p-value of ? and it opens (Up, down, left, right)

Answer 1

y^2 = 4px has
vertex at (0,0)
focus at (p,0)
directrix at x = -p
Now for yours, the directrix is 4 units to the right of the focus, so p = -2
The vertex will be 2 units to the right, at (9,-7)
That makes the equation
(y+7)^2 = -8(x-9)