Question 744578
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could someone please show me how to graph this x^2+y^2+2x-10y+1=0
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Transform this general conic section equation to a standard form.


For it, group x-terms and y-terms in two separate groups and complete the squares

    (x^2 + 2x + 1) + (y^2 - 10y) = 0

    {{{(x+1)^2}}} + (y^2 - 10y + 25) = 25

    {{{(x+1)^2}}} + {{{(y-5)^2}}} = 25.


This equation represents the circle of the radius  {{{sqrt(25)}}} = 5
centered at the point (-1,5).
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Solved.