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)

Explanation:

Step1: Recall translation rules

In a coordinate - plane, moving right affects the x - coordinate and moving down affects the y - coordinate. Moving right adds to the x - value and moving down subtracts from the y - value.

Step2: Apply the given translation

The triangle is translated 4 units right and 3 units down. Moving 4 units right means adding 4 to the x - coordinate (x becomes x + 4), and moving 3 units down means subtracting 3 from the y - coordinate (y becomes y - 3). So the translation rule is (x,y)→(x + 4,y - 3).

Answer:

(x,y)→(x + 4,y - 3) (corresponds to the third option)