Match the conic section $to$ one $of$ the listed equations. Then find the conic $section\text{'}s$ foci and vertices. $If$ the conic section $is$ a hyperbola, find its asymptotes $as$ well.

$\frac{x^2}{16}+\frac{y^2}{9}=1,\frac{x^2}{9}+\frac{y^2}{16}=1,\frac{y^2}{16}-\frac{x^2}{9}=1,\frac{x^2}{16}-\frac{y^2}{9}=1$