Arectangle 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)

Given a point P(x, y).

The x-coordinate of P represents the horizontal position. So to move point P horizontally, the change must be made at the x-coordinate.

Similarly, since the y-coordinate represents the vertical position of point P, a vertical shift means the y-coordinate needs to be changed.

The change is as follows, if a>0 and b>0

(x, y) → (x + a, y +b) shifts the point a units right, b units up

(x, y) → (x + a, y - b) shifts the point a units right, b units down

(x, y) → (x - a, y +b) shifts the point a units left, b units up

(x, y) → (x - a, y - b) shifts the point a units left, b units down

The translation 5 units up, 3 units left is described by the rule:

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