Please Help ! Analytic Geometry

Find the equation of the parabola with directrix x + 1 = 0 and y = 1, and the length of the latus rectum is 4. Sketch the graph.

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  1. x+1 = 0
    X = -1 = h = axis.

    F(-1,Y2)
    V(-1,k)
    D(-1,1)

    1/a = 4 = Latus rectum
    a = 1/4

    1/4a = 1/1 = 1

    k = y+1/4a = 1 + 1 = 2.

    Y2 = k+1/4a = 2 + 1 = 3.

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

    Use the following points for graphing:
    (x,y)
    (-3,3)
    (-2,9/4)
    V(-1,2)
    (0,9/4)
    (1,3)

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    posted by Henry

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