The coordinates of the point(x,y) after being translated m units left and n units up is:
(x-m,y+n)
We know that if a given points is shifted a units to the left or to the right then the change in the coordinate is:
(x,y) → (x+a,y)
where a>0 if the shift is a units to the right
and a<0 if the shift is a units to the left.
Similarly,
if a given points is shifted k units to the up or to the down then the change in the coordinate is:
(x,y) → (x,y+k)
where k>0 if the shift is a units up.
and k<0 if the shift is a units down.
Here the shift is m units left and n units up.
Hence, the transformation of point is:
(x,y) → (x-m,y+n)
