Translations: find the coordinates
Key Notes :
A translation slides a figure to a different location.
Learn with an example
The point E(–2, 2) is translated 3 units left. What are the coordinates of the resulting point, E′?

Start with the point E(–2, 2).

Move the point left 3 units. Subtract 3 from the x-coordinate to get (–5, 2).

E′ has coordinates (–5, 2).
The point F(6, 0) is translated 7 units left. What are the coordinates of the resulting point, F′?

F’ = (_____ , _____)
Start with the point F(6, 0).

Move the point left 7 units. Subtract 7 from the x-coordinate to get (–1, 0).

F′ has coordinates (–1, 0).
The point K(–3, –4) is translated 2 units right. What are the coordinates of the resulting point, K′?

k’ = (_____ , _____)
Start with the point K(–3, –4).

Move the point right 2 units. Add 2 to the x-coordinate to get (–1, –4).

K′ has coordinates (–1, –4).
let’s practice!