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: Recall translation rules

In a coordinate - plane, moving left/right affects the x - coordinate and moving up/down affects the y - coordinate. Moving to the left decreases the x - value and moving to the right increases the x - value. Moving up increases the y - value and moving down decreases the y - value.

Step2: Analyze the given translation

The rectangle is translated 3 units to the left. So, the x - coordinate of each point (x,y) changes as x→x - 3. It is also translated 5 units up. So, the y - coordinate of each point (x,y) changes as y→y + 5.

Answer:

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