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Math Help - parabola question

  1. #1
    Junior Member
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    Apr 2009
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    44

    parabola question

    the graph of y=x^2 is reflected in the x axis,then stretched vertically by a factor of 2,and then translated 3 units to the left and one unit down. What is the equation of this parabola,standard and general form
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  2. #2
    Junior Member
    Joined
    May 2009
    Posts
    47
    I will give you a hint to start you off:

    y= a(x-h)2+k

    From the info., you can determine that the centre (your h,k) will be (3,-1). There is a stretch, so your A would be 2 and add your reflection and you are done.

    Your h, is your horizontal shifts, and your k value is your vertical shifts. In your case, we had shift to the left of 3 which translates to "3". The shift up 1, is your k. The stretch is your A value and for any reflections in the X axis, it should be negative.

    Hope this helps.
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