Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y - 2)2 - 16(x + 1)2 = 16

A. center: (1, -2)
transverse axis: x = 1
vertices: (1, -6) and (1, 2)
foci: (1, -2 - ) and (1, -2 + )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
B. center: (-1, 2)
transverse axis: x = -1
vertices: (0, -1) and (0, 7)
foci: (0, 3 - ) and (0, 3 + )
asymptotes: y - 2 = - (x + 1) and y - 2 = (x + 1)
C. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -2) and (-1, 6)
foci: (-1, 2 - ) and (-1, 2 + )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (1, -4) and (-1, 4)
foci: (-1, - ) and (-1, )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)


Answer: C

Mathematics

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