If the Equation Represents a Hyperbola, Find the Center, Foci $$4 x ^ { 2 } + 9 y ^ { 2 } + 80 x - 108 y + 688 = 0$$

question 234

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.
- $$4 x ^ { 2 } + 9 y ^ { 2 } + 80 x - 108 y + 688 = 0$$

• A) C: (-10, 6); V: (-10, 9), (-10, 3); F: (-10, 8.2), (-10, 3.8)
• B) C: (-10, 6); V: (-7, 6), (-13, 6); F: (-7.8, 6), (-12.2, 6)
• C) C: (-10, 6); V: (-8, 6), (-12, 6); F: (-6.4, 6), (-13.6, 6)
• D) C: (-10,6); V: (-10, 8), (-10, 4); F: (-10, 9.6), (-10, 2.4)