determine the center, vertices, foci, and the asymptote

Question

vertices at (0,40 and (0,-4) asymptote y=1/2 x

Answer 1

Center: x = 0 ,y = 0; (0, 0) is center; a/b = 1/2; a = 4; b = 8; c² = 16 + 64 = 80; c = 4√5

Foci (0, - 4√5); (0, 4√5); Asymptots y = ±1/2x. Equation of hyperbola: y²/16 - x²/64 = 1