Your house is located at A (2, 2), B (4, 2), C (4, 4), D (3, 5), and E (2, 4). A flood moves your house. Using the translation rule (x,y) --> {x -4, y- 2} Plot the new location of your house.
Applying the translation rule (x,y) -> {x - 4, y - 2} to each coordinate, the new locations of the house would be:
A: (2 - 4, 2 - 2) = (-2, 0)
B: (4 - 4, 2 - 2) = (0, 0)
C: (4 - 4, 4 - 2) = (0, 2)
D: (3 - 4, 5 - 2) = (-1, 3)
E: (2 - 4, 4 - 2) = (-2, 2)
Therefore, the new location of your house after the flood would be (-2, 0), (0, 0), (0, 2), (-1, 3), and (-2, 2).