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Math Help - Another Calculus Problem

  1. #1
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    Another Calculus Problem

    Could someone please explain the solution to this problem for me? I really don't know what to do . This is the question:

    Find the equation of the curve consisting of all the points P whose distance from the point (0, 2) is twice the distance (of P) from the line y = 4. Please simplify your answer as much as possible.
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  2. #2
    Member billa's Avatar
    Joined
    Oct 2008
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    The distance from a point on the curve to the point (0,2) is given by
    sqrt(x^2 + (y-2)^2)
    The distance from the line y=4 to a point is given by
    4-y
    They said that the distance from the point on the curve to the line y=4 was double the distance from the point to (0,2), so ...
    sqrt(x^2 + (y-2)^2) = 2 * (4-y)
    That is how you start the problem. They want you to simplify it as well.
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