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)

Answer 1

(x, y) → (x – 3, y + 5)

Explanation:

If you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5 and if moving left or right affects the x coordinate and moving left is negative so x - 3

"5 units up" would be "5 added to the current y-value".

"3 units to the left" would be "3 subtracted from the current x-value".

So, the translation rule is: (x, y) → (x – 3, y + 5)

~Lenvy~