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Math Help - Parabola

  1. #1
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    Parabola

    Find an equation that says that
    P = (x, y) is equidistant from F = (2, 0) and the y-axis.

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  2. #2
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    An equation or find the point P?

    If the later what about (1,0)?
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  3. #3
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    I need to find an equation, not just 1 point. I know that (1,0), (2,2), and (2,-2) are all equidistant from F = (2, 0) and the y-axis
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  4. #4
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    Since you title this "parabola", I suspect you already know the answer. However, the derivation is this:

    The distance from (x, y) to (2, 0) is \sqrt{(x- 2)^2+ y^2} and the distance from the (x, y) to the y-axis is simply x. To be equidistant, we must have \sqrt{(x-2)^2+ y^2}= x

    Square both sides and simplify.
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