Analytic Geometry

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A parabola has a directrix y=-3, axis =4 and latus rectum equal to 2. find its equation.

Please help me its for my homework

  • Analytic Geometry -

    1/a = 2.
    a = 1/2.
    1/4a = 1/2.

    k- (-3) = 1/4a = 1/2.
    k + 3 = 1/2
    k = 1/2 - 6/2 = -5/2.

    h = axis = 4.

    Y = Y = a(x-h)^2 + k.
    Y = (1/2)(x-4)^2 - 5/2.

  • Analytic Geometry -

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