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

Step2: Analyze vertical translation

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

Answer:

\((x,y)\to(x - 3,y + 5)\) (the third option)