Question 115470
find the coordinates of the vertex for the parabola defind by the given quadratic function.

f(x) = 3-x^2+2x
x^2-2x = -y+3
Complete the square on the x-terms:
x^2-2x+1 = -y+4
(x-1)^2 = -(y-4)
Vertex: x=1, y=4

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{{{graph(400,300,-10,10,-10,10,-x^2+2x+3)}}}
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Cheers,
Stan H.