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Math Help - maximum point of the curve

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    maximum point of the curve

    The curve y=-2x^2+8x-3 has a maximum point at x=p,where p is constant.Find the value of p
    Last edited by mastermin346; July 21st 2010 at 11:06 PM.
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    Quote Originally Posted by mastermin346 View Post
    The curve y=-2x^2+8x-3 has a maximum point at x=p,where p is constant.Find the value of p
    A parabola opening downward has its maximum value at the vertex- and you can get that by completing the square:
    -2x^2+ 8x- 3= -2(x^2- 4x)- 3= -2(x^2- 4x+ 4- 4)- 3
    = -2(x^2- 4x+ 4)+ 8-  3= -2(x- 2)^2+ 5

    Since a square is never negative, that will be largest when x-2= 0.
    Last edited by mr fantastic; July 22nd 2010 at 04:35 AM.
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