The translation rule is:
[tex](x,y) \rightarrow (x + 4, y - 5)[/tex]
- F(1,4) is mapped to F'(5,-1), that is, 4 is added to the x-coordinate and 5 is subtracted from the y-coordinate.
- G(2,2) is mapped to G'(6,-3), which is the same change as in F.
- The same happens for E(-1,2), which is mapped to E'(3,-3).
Thus, the translation rule when 4 is added to the x-coordinate and 5 is subtracted from the y-coordinate is:
[tex](x,y) \rightarrow (x + 4, y - 5)[/tex]
A similar problem is given at https://brainly.com/question/23960579
