Write a polar equation $inr$ and ${?}^{(})of$ a conic with the focus $at$ the origin, and

eccentricity ${?}^{(}\frac{9}{4})$ and directrix $y=8.$

Select the correct answer.

$r=\frac{72}{4+9cos}$

$r=\frac{9}{9-4sin}$

$r=72sin$

$r=\frac{72}{4+9sin}$