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 (-1,2) by the translation of axes, find the transformed equation x^2+y^2+2x-4y+1=0 .

If origin is shifted to the point (-1,2) then what will be the transformed equation of the curve 2x^(2)+y^(2)-3x+4y-1=0 in the new axes ?

If origin is shifted to the point (-1,2) then what will be the transformed equation of the curve 2x^(2)+y^(2)-3x+4y-1=0 in the new axes ?

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 .