Translations

Translations involves sliding or moving the object or point given across the $$x –$$  and $$y –$$ axes

If a point $$(x, y)$$ is translated $$a$$ units on the $$x – axis$$ and $$b$$ units on the $$y – axis$$, the translation is represented as:

$$\left(x, y\right) \rightarrow \left(x + a, y + b\right)$$

Example: Translate the point $$A\left(-3, 2\right)$$ using the rule $$\left(x + 2, y + 4\right)$$

Solution

$$A\left(-3, 2\right) \rightarrow \left(-3 + 2, 2 + 4\right) \rightarrow A’\left(-1, 6\right)$$
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