C(-2,-3) moves to C ' (-4, -3)
The x coordinate changes from -2 to -4. So we subtracted -2 from the x coordinate. Algebraically, x becomes x-2
The y coordinates are both -3, so nothing changes here.
The translation rule is [tex](x,y) \to (x-2, y)[/tex]
This represents a shift of 2 units to the left.