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: Understand x - coordinate translation

Moving right on the coordinate - plane increases the x - coordinate. If a point is translated 4 units right, we add 4 to the x - coordinate of the original point (x, y). So the new x - coordinate is x + 4.

Step2: Understand y - coordinate translation

Moving down on the coordinate - plane decreases the y - coordinate. If a point is translated 3 units down, we subtract 3 from the y - coordinate of the original point (x, y). So the new y - coordinate is y−3.

Step3: Determine the translation rule

The translation rule for a point (x, y) that is translated 4 units right and 3 units down is (x, y)→(x + 4,y−3).

Answer:

(x, y)→(x + 4,y−3) (the third option)