Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(y - 1)2 - 64(x - 2)2 = 64
A. center: (-2, -1)
transverse axis is parallel to y-axis
vertices: (-2, -9) and (-2, 7)
foci: (-2, -1 - ) and (-2, -1 +
)
asymptotes of y - 1 = - 8(x - 2) and y - 1 = 8(x - 2)
B. center: (2, 1)
transverse axis is parallel to x-axis
vertices: (-2, -8) and (2, 8)
foci: (2, - ) and (2,
)
asymptotes of y - 1 = - 8(x - 2) and y - 1 = 8(x - 2)
C. center: (2, 1)
transverse axis is parallel to y-axis
vertices: (3, -6) and (3, 10)
foci: (3, 2 - ) and (3, 2 +
)
asymptotes of y - 1 = - (x - 2) and y - 1 =
(x - 2)
D. center: (2, 1)
transverse axis is parallel to y-axis
vertices: (2, -7) and (2, 9)
foci: (2, 1 - ) and (2, 1 +
)
asymptotes of y - 1 = - 8(x - 2) and y - 1 = 8(x - 2)
Answer: D
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