Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x - 3)2 - 25(y + 2)2 = 25

A. center at (3, -2)
transverse axis is parallel to x-axis
vertices at (2, -2) and (4, -2)
foci at (3 - , -2) and (3 + , -2)
asymptotes of y + 2 = - 5(x - 3) and y + 2 = 5(x - 3)
B. center at (3, -2)
transverse axis is parallel to y-axis
vertices at (3, -7) and (3, 3),
foci at (3, -2 - ) and (3, -2 + ),
asymptotes of y - 2 = - 5(x + 3) and y - 2 = 5(x + 3)
C. center at (-2, 3)
transverse axis is parallel to x-axis
vertices at (-7, 3) and (3, 3)
foci at (-2 - , 3) and (-2 + , 3)
asymptotes of y - 3 = - (x + 2) and y - 3 = (x + 2)
D. center at (3, -2)
transverse axis is parallel to x-axis
vertices at (-2, -2) and (8, -2)
foci at (3 - , -2) and (3 + , -2)
asymptotes of y + 2 = - (x - 3) and y + 2 = (x - 3)


Answer: D

Mathematics

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