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Identify the direction of opening,the coordinates of the center, the vertices, and the foci. Find the equations of the asymptotes and sketch the graph. x^2/16-y^2/9=1

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CEED

  1. x^2/16-y^2/9=1

    a^2 = 16 ---> a = 4
    b^2 = 9 ----> b = 3

    centre: (0,0)
    vertices: (-4,0), (4,0)
    asympotes: y = ±(3/4)x

    You should know the basic properties of a hyperbola in its standard form like this one.

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    Reiny

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