Question

The graph of xy=6 is translated up 3 units and to the right 2 units. Which are possible equations for the translated graph? Select all that apply. A. y = 3 + 6/x-2 B. y = 3x/x-2 C. (x-2) (y-3) = 6 D. y = 3/x-2

Answer 1

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.