Translation is a term used in geometry to describe a function that moves an object a certain distance. The oject is not altered either by rotation, reflection or by resizing.
In a translation, every point of the object must be moved in the same direction and for the same distance
A translation can be described using words like "moved up 3 and over 5 to the left".
A notation can look like the below, (x+a) (y+b) where a and b are added to x and y respectively,
[tex]T_{(3,5)}[/tex]Another notation is a mapping rule of the form,
[tex](x,y)\rightarrow(x-5,\text{ y+3)}[/tex]The above notation tells us that x and y coordinates are translated to x-5 and y+3.