Question

A translation T=([2],[-3]) maps A(x,Y) onto A(4,7) Determine the co-ordinates of point A.

Answer 1

To find the original coordinates of point A given the translation T=([2],[-3]), we subtract the translation vector from the coordinates of A'(4,7), resulting in A being located at (2, 10).

Step-by-step explanation:

To determine the coordinates of point A given the translation T=([2],[-3]) that maps A(x, y) onto A'(4,7), we can subtract the translation vector from the coordinates of A'. The original point A can be found using the following calculation:

• Ax = A'x - Tx = 4 - 2 = 2
• Ay = A'y - Ty = 7 - (-3) = 10

Therefore, the coordinates of point A are (2, 10).