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: (x, y) → (x + 4, y - 3)

A translation is a geometric transformation which follows specific rules.

A horizontal translation of a units transforms the coordinates (x, y) into:

x' = x + a

y' = y

where, if a > 0 the translation is towards the right and if a < 0 the translation is towards the left.

In our case a = + 4

A vertical translation of b units transforms the coordinates (x, y) into:

x' = x

y' = y + b

where, if b > 0 the translation is upward and if b < 0 the translation is downward.

In our case: b = - 3

Combining the two transformations:

x' = x + 4

y' = y - 3

Hence, the correct answer is (x, y) → (x + 4, y - 3)

Because the translation is 4 units towards the right, it will be x + 4

and because it is 3 units down, it will be y - 3

(x, y) → (x + 4, y - 3)