Pre-Calc/Chapter 8: Analytic Geometry in Two- and Three-Dimensions/8.3 Hyperbolas/8.3.4 Find Equation of Hyperbola Given Conditions Find an equation in standard form for the hyperbola that satisfies the given ... Find an equation in standard form for the hyperbola that satisfies the given conditions.

Center (-1, 3), focus (-1, 8), vertex (-1, 5)]]> 1.0000000 0.3333333 0 true true abc +

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Center (2, -3), focus (7, -3), vertex (5, -3)]]> 1.0000000 0.3333333 0 true true abc -

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Vertices at (±3, 0), foci at (±9, 0)]]> 1.0000000 0.3333333 0 true true abc -

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Foci at (0, ±10), a conjugate axis with length 8]]> 1.0000000 0.3333333 0 true true abc -

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= 1]]> 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 Incorrect -

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Foci at (±8, 0), transverse axis with length 8]]> 1.0000000 0.3333333 0 true true abc -

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Vertices at (0, ±4), asymptotes at y = ±

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