At what point should the origin be shifted if the coordinates of a point `(4,5)` become `(-3,9)?`

Explanation determine new coordinates of point or new locus: At what point should the origin be shifted if the coordinates of a point (4;5) becomes (-3;9)?

At what point should the origin be shifted if the coordinates of a points (9,5) become (-3,9)

At what point must the origin be shifted, if the coordinates of a point (4, 2) become (3,-2)?

At what point the origin be shifted, if the coordinates of a point (-1, 8) become (-7, 3) ?

At which point should the origin be shifted so that co-ordinates of point (2,5) become (1,-4) ?

At which point the origin should be shifted such that the new co-ordinates of the (-2,3) becomes (2,6) ?

If the origin is shifted to the point (2,-1) by a translation of the axes, the coordinates of a point become (-3,5). Find the original coordinates of the point.

If the origin is shifted to the point (0,-2) by a translation of the axes, the coordinates of a point become (3, 2). Find the original coordinates of the point.

If the origin is shifted to the point (2,3) the coordinates of a point become (5,-4). Find the original coordinates, which the axes are parallel.

If the origin is shifted to (h,k) ,the coordinates of a point P(x,y) transformed to P(X,Y) then new co-ordinates are