Answer:
Option C
Step-by-step explanation:
The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.
The focus is -4,-4 and the directrix is y=-2 therefore h=-4 and
-2=k-p and -4=k+p adding this last equations we get -6=2k therefor k=-3
and p=-1
we plug this in the equation of the standard form we get:
[tex](x+4)^{2} =-4(y+3)[/tex]
[tex]x^{2} +8x+16=-4y-12[/tex]
[tex]x^{2} +8x+28=-4y[/tex]
[tex]-\frac{x^{2}}{4} -2x-7=y[/tex]
Option C
