Question

a shape is translated by 1 unit to the right and 1 unit down. which of the following represents the transformation algebraically? show your work here (x,y)→(x - 2,y + 2) (x,y)→(x + 1,y - 1) (x,y)→(x,y) (x,y)→(x - 1,y + 1)

Explanation:

Step1: Recall translation rules

In a coordinate - plane, moving a point (x, y) to the right means adding to the x - coordinate, and moving it down means subtracting from the y - coordinate.

Step2: Apply the rules

If a shape is translated 1 unit to the right and 1 unit down, for a point with coordinates (x, y), the new x - coordinate is x+1 (1 unit to the right) and the new y - coordinate is y - 1 (1 unit down). So the transformation is (x,y)→(x + 1,y - 1).

Answer:

(x,y)→(x + 1,y - 1)