Answer:
y=-2
Explanation:
Which is the directrix of a parabola with equation X^2=8y
The directrix is given by y=k−p
(h,k+p).focus of a parabola is given by (h,k+p).
(x−h)^2=4p(y−k), is known as the equation of a parabola
X^2=8y
comparing we have
(x−h)^2=x^2
x=x-h
h=0
4p(y−k)=8y
k=0
4py=8y
p=2
recall the directrix is given by y=k−p
y=0-2
y=-2
Parabola is a curve such that any point is at equidistant from the focus