Question

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

0,5
(x,y) → (x + 5, y-3)
(x,y) → (x + 5, y + 3)
(x, y) = (x-3, y + 5)
(x,y) → (x + 3, y + 5)

Answer 1

Option D: (x, y) = (x-3, y + 5)

Explanation:

First, understand that when a translation is left to right, it is a translation of x, and when a translation is up or down, it is a translation of y. The first part of the question states that a rectangle on a coordinate plane is translated 5 units up; this is a positive alteration of the y coordinate because it is translated up. (y+5) Second part of the question states that it is also translated 3 units to the left; this is a negative alteration of the x coordinate because it is translated to the left. (x-3) Therefore, you are left with the answer, (x, y) = (x-3, y + 5).