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    How To Find the Directrix of a Parabola

    Result

    y = -a

    Example plot

    Example plots

    Equations

    x(t) = 2 a t y(t) = a t^2

    y = x^2/(4 a)

    r(θ) = 4 a tan(θ) sec(θ)

    (for a parabola opening upward with vertex at the origin and semilatus rectum 2a)

    Conic properties

    {(0, a)}

    p = 2 a

    e = 1

    L = 2 a