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

Explanation:

Step1: Analyze horizontal translation

Moving 3 units to the left means subtracting 3 from the x - coordinate. So the new x - coordinate is \(x-3\).

Step2: Analyze vertical translation

Moving 5 units up means adding 5 to the y - coordinate. So the new y - coordinate is \(y + 5\).

Answer:

\((x,y)\to(x - 3,y + 5)\)