We can see in the given graph that D'E'F'G' is a translation right 6 units and down 4 units of DEFG.
Vertical translations affect the y-coordinate and horizontal translations affect the x-coordinate. We can use this to write the translation from the preimage DEFG to the image D'E'F'G'.
(x,y)→(x +6,y -4)
Translation from D'E'F'G' to D''E''F''G''
From the given graph we see that D''E''F''G'' is a translation left 6 units of D'E'F'G'.
Again, keep in mind that vertical translations affect the y-coordinate and horizontal translations affect the x-coordinate. Let's write the translation from D'E'F'G' to the image D''E''F''G''.
(x,y)→(x -6,y +0)
