Question

which would describe a translation 2 units left and one unit up? a. (x,y)→(x - 2,y + 1) b. (x,y)→(x + 2,y - 1) c. (x,y)→(x - 1,y + 2) d. (x,y)→(x + 1,y - 2)

Explanation:

Step1: Recall translation rules

In a coordinate - plane, moving left or right affects the x - coordinate and moving up or down affects the y - coordinate. Moving left means subtracting from the x - coordinate and moving up means adding to the y - coordinate.

Step2: Analyze each option

For a translation 2 units left and 1 unit up, the x - coordinate of a point \((x,y)\) should change to \(x - 2\) (subtract 2 for moving left) and the y - coordinate should change to \(y+1\) (add 1 for moving up).

Answer:

\((x,y)\to(x - 2,y + 1)\) (Option d)