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How do i graph the function y^2=x*(x-4)^2. I have no idea where to begin.

  • Math -

    Y^2 = X(X-4)^2.

    Let X = 0:
    Y^2 = 0(0-4)^2 = 0,
    Y = 0.

    Let X = 1:
    Y^2 = 1(1-4)^2 = 9,
    Y = sqrt9 = +- 3.

    (0,0),(1,+-3),(2,+-3.46),(3,+-1.73),
    (4,0),(5,+-2.24).

    Let X = -5:
    Y^2 = -5(-5-4)^2 = -405,
    Y=sqrt(-405) = sqrt(405*-1) =+- 20.1i.

    (-5,+-20i),(-4,+-16i),(-3,+-12.1i),
    (-2,+-8.49i),(-1,+-5i).

    i = imaginary = sqrt(-1).

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