We can see in the given graph that â–³ A'B'C' is a translation up 1 unit, and right 5 of â–³ ABC.
Vertical translations affect the y-coordinate and horizontal translations affect the x-coordinate. We can use this to write the translation from â–³ ABC to the image â–³ A'B'C'.
(x,y)→(x + 5,y + 1)
Translation from â–³ A'B'C' to â–³ A''B''C''
From the given graph we see that â–³ A''B''C'' is a translation down 5 units, and left 5 units of the graph of â–³ A'B'C'.
Again, keep in mind that vertical translations affect the y-coordinate and horizontal translations affect the x-coordinate. Let's write the translation from â–³ A'B'C' to the image â–³ A''B''C''.
(x,y)→(x - 5,y - 5)
