Question

A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?

(x, y) → (x + 3, y – 4)
(x, y) → (x + 3, y + 4)
(x, y) → (x + 4, y – 3)
(x, y) → (x + 4, y + 3)

Answer 1

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:

\((x, y) \rightarrow (x + 4, y - 3)\)