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

Solution: as coefficient of y = negative
axis will be y axis.let the equation is
$x^2--9ay$
focus = $\left(0,0\right)$
direction = $y=a$
LR = $4a$
-4a = -9
$a=\frac{9}{4}$
focus = $\left(0,-\frac{9}{4}\right)$
direction is $\frac{9}{4}$
LR = $4\cdot \frac{9}{4}=9$
answer