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: Understand horizontal translation

Moving left on the coordinate - plane means subtracting from the x - coordinate. Moving 3 units to the left, the x - coordinate of a point (x, y) changes to x - 3.

Step2: Understand vertical translation

Moving up on the coordinate - plane means adding to the y - coordinate. Moving 5 units up, the y - coordinate of a point (x, y) changes to y + 5.

Step3: Determine the translation rule

The rule for translating a point (x, y) 5 units up and 3 units to the left is (x, y)→(x - 3,y + 5).

Answer:

(x, y)→(x - 3,y + 5)