Count the units you move horizontally and vertically to get from a vertex of the preimage to the corresponding vertex of the image.
T_(<4,- 2>) (x,y)= (x+4, y-2)
Practice makes perfect
To write the rule for the translation, it is enough to consider only one set of corresponding vertices.
For this segment, we will consider the upper vertices. Let's count the number of units we move vertically and horizontally to map A onto A'.
We can see that we moved down 2 units and right 4 units to get from the preimage to the image. Now, remember that vertical translations affect the y-coordinate and horizontal translations affect the x-coordinate. Let's finally write the rule for the transformation.
(x + 4,y-2) → T_(< 4,- 2>)
