Find the coordinates of the focus,axis of the parabola,the equation of the directrix,and the length of the latus rectum for $x^{2}=-9y$.

(N/A) The given equation is $x^{2}=-9y$.
Here,the coefficient of $y$ is negative.
Hence,the parabola opens downwards.
On comparing this equation with the standard form $x^{2}=-4ay$,we obtain:
$-4a = -9 \Rightarrow a = \frac{9}{4}$.
$\therefore$ The coordinates of the focus are $(0, -a) = (0, -\frac{9}{4})$.
Since the equation involves $x^{2}$,the axis of the parabola is the $y$-axis.
The equation of the directrix is $y = a$,i.e.,$y = \frac{9}{4}$.
The length of the latus rectum is $4a = 9$.