Answer
Parabola
vertex: (0,-4)
focus: (0,-4+$\frac{1}{8}$)
directrix: y+4=-$\frac{1}{8}$
Work Step by Step
4$x^{2}$=y+4
$x^{2}$=$\frac{y+4}{4}$
the equation is similar to $x^{2}$=4py
then it is a parabola
from the equation:
p= $\frac{1}{8}$
Center or vertex= (0,-4)
and directrix is y+4= - $\frac{1}{8}$
