The graph of xy = 12 is translated down 6 units and to the left 4 units. Select all the equations that could represent the translated graph.

The graph thus obtained will be,

(x + 6) (y + 4) = 12.

Step-by-step explanation:

If the graph of xy = 12 is translated down 6 units and to the left 4 units, the graph thus obtained will be equivalent to the case when the origin is shifted

from (0,0) to (6,4).

So, the graph thus obtained will be,

(x + 6) (y + 4) = 12.

We know that when the origin is shifted from (0,0) to (h, k), the function,

f (x, y) = 0 will be transformed to, f (x + h, y + k) = 0