Translations are a simple family of two-dimensional transforms. Translations were at the heart of our Sprite implementations in Project #1.

Translations have the following form

x' = x + t_x
y' = y + t_y
For every translation there exists an inverse function which undoes the translation. In our case the inverse looks like: x = x' - t_x
y = y' - t_y
There also exists a special translation, called the identity, that leaves every point unchanged. x' = x + 0
y' = y + 0