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 horizontal translation

Moving right on the coordinate - plane means adding to the x - coordinate. Since the triangle is translated 4 units right, we add 4 to the x - coordinate of each point \((x,y)\). So the x - coordinate becomes \(x + 4\).

Step2: Understand vertical translation

Moving down on the coordinate - plane means subtracting from the y - coordinate. Since the triangle is translated 3 units down, we subtract 3 from the y - coordinate of each point \((x,y)\). So the y - coordinate becomes \(y-3\).

Answer:

C. \((x,y)\to(x + 4,y - 3)\)