Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
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A)center at (0, 0)transverse axis is x-axis vertices at (-4, 0)and (4, 0)foci at Asymptotes of y = - 3 and y = 3
B)center at (0, 0)transverse axis is x-axis vertices at (-12, 0)and (12, 0)foci at ( Asymptotes of y = - 3 and y = 3
C)center at (0, 0)transverse axis is y-axis vertices at (0, -4)and (0, 4)foci at Asymptotes of y = - 3 and y = 3
D)center at (0, 0)transverse axis is x-axis vertices at (-4, 0)and (4, 0)foci at (-12, 0)and (12, 0)asymptotes of y = - 3 and y = 3

Question

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
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A)center at (0, 0)transverse axis is x-axis vertices at (-4, 0)and (4, 0)foci at Asymptotes of y = - 3 and y = 3 
B)center at (0, 0)transverse axis is x-axis vertices at (-12, 0)and (12, 0)foci at ( Asymptotes of y = - 3 and y = 3 
C)center at (0, 0)transverse axis is y-axis vertices at (0, -4)and (0, 4)foci at Asymptotes of y = - 3 and y = 3 
D)center at (0, 0)transverse axis is x-axis vertices at (-4, 0)and (4, 0)foci at (-12, 0)and (12, 0)asymptotes of y = - 3 and y = 3

Quizplus · Accepted Answer

This is the only choice where the center is at (0,0) and the transverse axis is horizontal, which matches the equation of a standard hyperbola. The given vertices and foci also match the standard form of a hyperbola with this orientation. The asymptotes are also correctly given as y = -3 and y = 3.

Find the Center, Transverse Axis, Vertices, Foci, and Asymptotes of the Hyperbola