Question

Write a translation rule that maps D(7,-3) onto point (2,5)

Answer 1

The answer is D(x, y) → (x-5, y+8).
If the location of point D is defined by coordinates (x, y) equal to (7, -3), and the location of point D' is defined by coordinates (x', y') equal to (2, 5), the point D translated becomes point D' means that each point (x, y) is shifted onto the point (x', y'), that is,  
     (x, y) → (x', y')
     Dtranslation = < (x' - x), (y' - y) >
                         = < 2 - 7, 5 - (-3) >
                         = < -5, 8 >
Therefore, point D moved 5 units to the left and 8 units up:
     D(x, y) → (x-5, y+8)