The calculated rule that describes the translation is (x, y) = (x + 3, y + 4)
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 red squares
This is represented as
A′B′C′D′ and ABCD
In the graph, we can see that
The square ABCD is shifted up by 4 units and to the right by 3 units
This means that
A'B'C'D' = (x + 3, y + 4)
So, we have
(x, y) = (x + 3, y + 4)
Hence, the rule of the translation is (x, y) = (x + 3, y + 4)