The Affine 4 parameters transformation is one of the possible methods to transform coordinates in plane.
The parameters are: two East/North translations, rotations, the scale factor and the rotation angle.
Mathematically, to transform the coordinates from one reference system to another, at least the coordinates of 2 points in both systems are needed
Even though 3 known points in both systems are sufficient to solve this transformation, it is obviously advised to use more points in order to have a more accurate calculation