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Transformation that takes all point on parabola onto unit circle

  1. May 8, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that the transformation

    Code (Text):

     _        __  _  __
    | 0 -2 1   ||  x  |
    | -2 2 0   ||  y  |
    |_2 -2  1 _||_ 1_|
     
     
    takes all points on parabola y2=x onto the unit circle x2+y2=1
    2. Relevant equations



    3. The attempt at a solution
    I can't find out what to do I just need a hint about how to get started about doing this.
     
  2. jcsd
  3. May 13, 2009 #2
    {M} [x] = [x']
     
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