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