An equation of a hyperbola
$25y^2 - 4x^2 = 100$
(a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of
equations.)
vertex $(x, y) = ( ext{_____}, ext{_____})$ (smaller y-value)
vertex $(x, y) = ( ext{_____}, ext{_____})$ (larger y-value)
focus $(x, y) = ( ext{_____}, ext{_____})$ (smaller y-value)
focus $(x, y) = ( ext{_____}, ext{_____})$ (larger y-value)
asymptotes $ ext{_____}$