Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.x2 - 16y2 - 8x + 32y - 16 = 0
A. center at (4, 1)
transverse axis: x = 4
vertices: (4, -3) and (4, 5)
foci: (4, 1 - ) and (4, 1 +
)
asymptotes: y + 1 = - 4(x + 4) and y + 1 = 4(x + 4)
B. center: (4, 1)
transverse axis: y = 1
vertices: (3, 1) and (5, 1)
foci: (4 - , 1) and (4 +
, 1)
asymptotes: y - 1 = - 4(x - 4) and y - 1 = 4(x - 4)
C. center: (4, 1)
transverse axis: y = 1
vertices: (0, 1) and (8, 1)
foci: (4 - , 1) and (4 +
, 1)
asymptotes: y - 1 = - (x - 4) and y - 1 =
(x - 4)
D. center: (1, 4)
transverse axis: y = 4
vertices: (-3, 4) and (5, 4)
foci: (1 - , 4) and (1 +
, 4)
asymptotes: y - 4 = - (x - 1) and y - 4 =
(x - 1)
Answer: C
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