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Graphing Parabolas that are not parallel to the y-axis

  1. May 8, 2013 #1
    I have gone over parabolas for a while in my Algebra II class and we are limited to just horizontal and vertical parabolas. I want to figure out how to graph a parabola that is titled at an angle. An equation that lets me graph a parabola whose axis of symmetry is lets say at 43° or 312.45° or whatever degree non parallel to an axis.
     
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  3. May 8, 2013 #2

    mathman

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    You can always graph it as a vertical or horizontal parabola and then rotate it so the axis is what you want.
     
  4. May 8, 2013 #3
    What would you do to the equation in order to rotate it? I need an equation to do this.
     
  5. May 8, 2013 #4

    SteamKing

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  6. May 9, 2013 #5

    mathman

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    Essentially you set a matrix with elements (cosx, sinx) for the first row and (-sinx, cosx) for the second row (x is the rotation angle). Each point (x,y) is transformed by mutiplying by the matrix.
     
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