Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(x + 1)2 - 9(y - 2)2 = 9
A. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -1) and (-1, 5),
foci: (-1, 2 - ) and (-1, 2 +
),
asymptotes: y + 2 = - 3(x - 1) and y + 2 = 3(x - 1)
B. center: (2, -1)
transverse axis: y = 2
vertices: (-1, -1) and (5, -1)
foci: (2 - , -1) and (2 +
, -1)
asymptotes: y + 1 = - (x - 2) and y + 1 =
(x - 2)
C. center: (-1, 2)
transverse axis: y = 2
vertices: (-4, 2) and (2, 2)
foci: (-1 - , 2) and (-1 +
, 2)
asymptotes: y - 2 = - (x + 1) and y - 2 =
(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (-2, 2) and (0, 2)
foci: (-1 - , 2) and (-1 +
, 2)
asymptotes: y - 2 = - 3(x + 1) and y - 2 = 3(x + 1)
Answer: C
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