Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(x + 1)2 - 9(y - 4)2 = 9

Question

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

Answer 1

Answer: D