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)

Question

Quizplus · Accepted Answer

The given equation represents an ellipse. By completing the square, the center is found to be (-4, -5). The vertices are (-9, -5) and (1, -5), and the foci are (-7, -5) and (-1, -5).

If the Equation Represents a Hyperbola, Find the Center, Foci 16x2+128x+25y2+250y+481=016 x ^ { 2 } + 128 x + 25 y ^ { 2 } + 250 y + 481 = 016x2+128x+25y2+250y+481=0

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