To describe the translation of a triangle on the coordinate plane that is translated 4 units right and 3 units down, we need to adjust the \(x\) and \(y\) coordinates accordingly.
- Translating 4 units to the right adds 4 to the \(x\) coordinate.
- Translating 3 units down subtracts 3 from the \(y\) coordinate.
Putting this together, the rule for the translation can be described as follows:
\[ (x, y) \rightarrow (x + 4, y - 3) \]
Thus, the correct option is:
\((x, y) \rightarrow (x + 4, y - 3)\)