Point (x,y) is translated to (x-2,y+2).
When a point (x,y) is translated, the x coordinate is either translated horizontally right or left and y coordinate is translated either vertically up or down.
When x coordinate is translated by k, i.e horizontally right ,it means x→x+k, and horizontally left then ,x→x-k
Similarly,when y coordinate is translated vertically up by m, then, y→y+m, and horizontally left then , y→y-m
Now, (x,y)→(x-2,y+2), it means x coordinate is translated horizontally left by 2 units and y coordinate is translated vertically up by 2 units.