If the Equation Represents a Hyperbola, Find the Center, Foci $$16 x ^ { 2 } + 128 x + 25 y ^ { 2 } + 250 y + 481 = 0$$

Multiple Choice

If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix.
- $$16 x ^ { 2 } + 128 x + 25 y ^ { 2 } + 250 y + 481 = 0$$

A) C: (-4, -5) ; V: (-9, -5) , (1, -5) ; F: (-8, -5) , (0, -5)
B) C: (-4, -5) ; V: (-9, -5) , (1, -5) ; F: (-7, -5) , (-1, -5)
C) C: (-4, -5) ; V: (-5, -9) , (-5, 1) ; F: (-5, -7) , (-5, -1)
D) C: (-4, -5) ; V: (-5, -9) , (-5, 1) ; F: (-5, -8) , (-5, 0)