An equation of a hyperbola is given.
x2 − 3y2 + 48 = 0
a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.)
vertex | (x, y) | = |
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(smaller y-value) |
vertex | (x, y) | = |
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focus | (x, y) | = |
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focus | (x, y) | = |
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asymptotes | ( |
b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.
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