Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.
-
= 1
A. center: (-4, 1)
transverse axis: x = -4
vertices: (-8, 1) and (0, 1)
foci: (-4 - , 1) and (-4 +
, 1)
asymptotes: y - 1 = - (x + 4) and y - 1 =
(x + 4)
B. center: (-4, 1)
transverse axis: x = -4
vertices: (-4, -4) and (-4, 6)
foci: (-4, 1 - ) and (-4, 1 +
)
asymptotes: y + 1 = - (x - 4) and y + 1 =
(x - 4)
C. center: (1, -4)
transverse axis: y = 1
vertices: (-4, -4) and (6, -4)
foci: (1 - , -4) and (1 +
, -4)
asymptotes: y + 4 = - (x - 1) and y + 4 =
(x - 1)
D. center: (-4, 1)
transverse axis: y = 1
vertices: (-9, 1) and (1, 1)
foci: (-4 - , 1) and (-4 +
, 1)
asymptotes: y - 1 = - (x + 4) and y - 1 =
(x + 4)
Answer: D
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