Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 9y2 + 8x + 54y - 74 = 0
A. center at (-4, 3)
transverse axis is parallel to x-axis
vertices at (-7, 3) and (-1, 3)
foci at (-4 - , 3) and (-4 +
, 3)
asymptotes of y - 3 = - (x + 4) and y - 3 =
(x + 4)
B. center at (3, -4)
transverse axis is parallel to x-axis
vertices at (0, -4) and (6, -4)
foci at (3 - , -4) and (3 +
, -4)
asymptotes of y + 4 = - (x - 3) and y + 4 =
(x - 3)
C. center at (-4, 3)
transverse axis is parallel to x-axis
vertices at (-5, 3) and (-3, 3)
foci at (-4 - , 3) and (-4 +
, 3)
asymptotes of y - 3 = - 3(x + 4) and y - 3 = 3(x + 4)
D. center at (-4, 3)
transverse axis is parallel to y-axis
vertices at (-4, 0) and (-4, 6)
foci at (-4, 3 - ) and (-4, 3 +
)
asymptotes of y + 3 = - 3(x - 4) and y + 3 = 3(x - 4)
Answer: A
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