PreCalc

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I am supposed to graph this

y= -x^2+2x

he told us to coplete the square to get us the vertex, but how do i complete the square with a - in front of the x^2??

  • PreCalc -

    This way:
    -x^2 + 2 x = y

    x^2 - 2 x = -y

    x^2 - 2 x + 1 = -y+1

    (x-1)^2 = -(y-1)

    vertex at (1,1)
    negative sign means opens down (sheds water)

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