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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