2-Dimensional Translation:

Translation is a simple straight line movement of the object

Figure

As illustrated in Figure coordinates (x₁, y₁) have been translated to the new coordinates

(x′, y′).

                      x′₁ = x₁ + T_x

                      y′₁ = y₁ + T_y

Likewise, for other points or any object such like a polygon, by adding up the translation distances (T_x, T_y) for each of endpoint of the object the required translation is achieved.