Question

The image point of A after a translation right 4 units and up 4 units is the point B, left bracket, 3, comma, 8, right bracketB(3,8). Determine the coordinates of the pre-image point AA.

Answer 1

To find the coordinates of the pre-image point A, we need to reverse the translation that maps A to B. Since B is obtained by moving A right 4 units and up 4 units, we can get A by moving B left 4 units and down 4 units. This means we need to subtract 4 from the x-coordinate and the y-coordinate of B. Therefore, the coordinates of A are:

A(3-4,8-4)
A(-1,4)

The answer is A(-1,4).