Answer
(a) Focus: $F(0,-1)$
Directrix: $y=1$
$Focal~diameter=4$
(b)
Work Step by Step
Equation of a parabola with vertical axis: $x^2=4py$
$x^2=-4y$
$4p=-4$
$p=-1$
Focus: $F(0,p)=F(0,-1)$
Directrix: $y=-p=1$
$Focal~diameter=|4p|=4$