Translation of a Point

Translation of a Point

How to solve the translation of a point problems: formula, example, and its solution.

Formula

The image of a point (x, y), whose image is under the translation (x, y) → (x + a, y + b), is (x + a, y + b).

The image of a point (x, y),
whose image is under the translation (x, y) → (x + a, y + b),
is (x + a, y + b).

Example

Triangle ABC has vertices A(1, 2), B(5, 4), and C(3, 1). Its image is under the translation (x, y) → (x + 7, y + 5). Find the coordinates of the vertices of the image.

Translation of a point:
(x, y) → (x + 7, y + 5)