For this case we have the following functions transformation:
Vertical translations:
Suppose that k> 0
To graph y = f (x) -k, move the graph of f(x) k units down
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of f(x) h units to the right.
Applying the transformations to an ordered pair we have:
(x, y) ------------------> (x-3, y-5) ----------------- -> (x ', y')
Answer:
The rule that describes a translation that is 3 units to the right and 5 units down is:
(x, y) ------------------> (x-3, y-5) ----------------- -> (x ', y')