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When the origin is shifted to (-1,2) by ...

When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation `x^2+y^2+2x-4y+1=0`.

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When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation of 2x^2+y^2-4x+4y=0

When the origin is shifted to (-2,-3) and the axes are rotated through an angle 45^(0) , find the transformed equation of 2x^(2)+4xy-5y^(2)+20x-22y-14 = 0 .