The image of the point ( 2 , − 1 ) (2,−1) under a translation is ( 4 , 2 ) (4,2). Find the coordinates of the image of the point ( − 2 , 9 ) (−2,9) under the same translation.

Answer 1

Translation is: x' = x + (4 - 2) = x + 2; y' = y + (2 - (- 1)) = y + 3.

So, T(- 2, 9) = ((- 2 + 2), 9 + 3) = (0, 12)