The calculated rule that describes the translation is (x, y) = (x - 4, y + 2)
How to write a rule to describe the translation
From the question, we have the following parameters that can be used in our computation:
The blue and black triangles
In the graph, we can see that
The black figure is shifted down by 4 units and to the right by 2 units
This means that
Black = (x - 4, y + 2)
So, we have
(x, y) = (x - 4, y + 2)
Hence, the rule of the translation is (x, y) = (x - 4, y + 2)