SOLUTION: find the coordinates of the vertex for the parabola defind by the given quadratic function. f(x) = 3-x^2+2x

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the coordinates of the vertex for the parabola defind by the given quadratic function. f(x) = 3-x^2+2x      Log On


   



Question 115470: find the coordinates of the vertex for the parabola defind by the given quadratic function.
f(x) = 3-x^2+2x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B2x%2B3%29
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Cheers,
Stan H.