Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 16y2 + 6x - 32y - 23 = 0

A. center at (-3, -1)
transverse axis is parallel to x-axis
vertices at (-4, -1) and (-2, -1)
foci at (-3 - , -1) and (-3 + , -1)
asymptotes of y + 1 = - 4(x + 3) and y + 1 = 4(x + 3)
B. center at (-3, -1)
transverse axis is parallel to y-axis
vertices at (-3, -5) and (-3, 3)
foci at (-3, -1 - ) and (-3, -1 + )
asymptotes of y - 1 = - 4(x - 3) and y - 1 = 4(x - 3)
C. center at (-1, -3)
transverse axis is parallel to x-axis
vertices at (-5, -3) and (3, -3)
foci at (-1 - , -3) and (-1 + , -3)
asymptotes of y + 3 = - (x + 1) and y + 3 = (x + 1)
D. center at (-3, -1)
transverse axis is parallel to x-axis
vertices at (-7, -1) and (1, -1)
foci at (-3 - , -1) and (-3 + , -1)
asymptotes of y + 1 = - (x + 3) and y + 1 = (x + 3)


Answer: D

Mathematics

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