\"\"

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The hyperbola equation is \"\".

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The hyperbola center at origin.

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Since they all lie on the y-axis, the tranverse axis coincides with the y-axis.

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Than also comparing this equation in \"\".

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Than a2 = 16, b2 = 4 vertices at (0, \"\"a) = (0, \"\"4) = (0, \"\"4), (0, 4).\"\"

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The hyperbola equation is \"\", Than \"\".

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\"\"

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\"\"

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\"\" than focus at (0, \"\"c) = (0, \"\").

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The asymptotes are the lines \"\".\"\"

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To find the points above and below the focus , let y = \"\".

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\"\"

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\"\"    (Add \"\" to each side)

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\"\"\"\"

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\"\"                     (Subtract 1 from each side)

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\"\"

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\"\"

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\"\"                              (Multiply each side by 64)

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\"\"

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\"\"

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The points above and below the focus are \"\".\"\"

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To the graph of the hyperbola equation and points.

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\"graph

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\"\"

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The hyperbola equation is \"\".

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vertices at \"\", focus at \"\" and center (0, 0).

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\"graph