### What are Translations?

• A Translation is a function that maps each point to its image along a vector, it is also known as a **translation vector**

• A translation vector is a transformation that moves all points of a figure to the same distance in the same direction

A Translation is also known as a **slide**, in which the Translation can *slide* either Up (add to y), Down (subtract from y), Left (subtract from x) or Right (add to x)

### Example 2: Translations in the Coordinate Plane

*To translate a point along a vector (a, b), add *a *to the *x*-coordinate and *b *to the *y*-coordinate*

(x, y) —> (x + *a*, y + *b*)

Credits:

Created with images by Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9" • Brett Jordan - "Triangles #9"