Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1.

a). vertices: (4, 3), (-14, 3); foci: (-20, 3), (10, 3)
b). vertices: (3, 7), (3, -17); foci: (3, -17), (3, 7)
c). vertices: (7, 3), (-17, 3); foci: (-17, 3), (7, 3)
d). vertices: (3, 4), (3, -14); foci: (3, -20), (3, 10)