Question

what is the equation in standard form of a parabola whose focus is (-2,5) and whose directrix is x= -4?

Answer 1

are we assuming that the center is at the origin (0,0) right?

Answer 2

yes

Answer 3

what is the -4p?

Answer 4

i got it never mind thank you

Answer 5

1. Find the Equation for the parabola with focus
(-2,5) and directrix x=-4.

The focus is a point and the directrix is a line.

The parabola has the equation

(x - h)² = 4p(y - k)

where (h,k) is the vertex, p is the distance from
the vertex to the focus and also the distance
from the vertex to the focus.