Question

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

Answer 1

To translate a rectangle on a coordinate plane 5 units up, you add 5 to the y-coordinate. To translate it 3 units to the left, you subtract 3 from the x-coordinate.

So the correct rule for the translation is:

\[
(x, y) → (x - 3, y + 5)
\]

Thus, the answer is:

**(x, y) → (x - 3, y + 5)**.