Translation is one of the 4 ways that a shape can be moved. (Translation, Rotation, Shrink and enlarge and reflect) If you have a shape on a grid and you then move the shape, you have translated it.
A vector is the coordinates of where the shape has been moved. A vector looks like the picture below.
The top number indicates how far left or right the shape has moved. If the number is negative the shape moves left, if the number is positive, the shape moves right. The bottom number indicates how far up or down the shape will move. If the number is negative the shape goes down and if the number is positive the shape goes up.
When moving house you are translating objects to the new house. This is a real life example of translation.
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