Question

How is the graph of y=9(3)^x-2 -6 translated from the graph of y=9(3)^x ?

Answer 1

For this case we have the following function:
 y = 9 (3) ^ x
 Applying the following transformations we have:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 y = 9 (3) ^ (x-2)
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) -k, move the graph of k units down.
 y = 9 (3) ^ (x-2) - 6
 Answer:
 2 units to the right
 6 units down