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