We are given a triangle on the graph.
The vertices of the given triangle are (1,3), (-3,4) and (5,5).
The shown triangle is being transformed by the following rule
(x, y)→(x+3, y−2).
Let us apply same rule in each of the above coordinate
(1,3) →(1+3, 3 -2) → ( 4,1)
(-3,4) →(-3+3, 4 -2) → ( 0, 2)
(5,5) →(5+3, 5 -2) → ( 8, 3).
Therefore, coordinates of the transformed triangle are (4,1), (0,2) and (8,3).
