The correct option to the graph of xy = 6 that is translated up 3 units and to the right 2 units is option C. (x-2) (y-3) = 6
What is transformation?
A transformation is a mathematical operation that orient the position or shape of a geometric shapes. In the given question, the parent graph xy = 6.
It is stated that the graph is translated 3 units in the upward direction i.e. vertically. It means we will replace the y with y - 3.
Also, it is translated 2 units to the right. This involves shifting the graph horizontally. By doing so, we replace x with x -2.
So, we replace xy = 6 with (x -2) (y - 3) = 6. Therefore, option C is correct.