Question

Let f(x) = 2(1/3)^(x-3) +1.

The graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x) .
What is the equation of g(x)?
Enter your answer in the box.
g(x) = ?

Answer 1

To stretch the graph of f(x) vertically by a factor of 3, we need to multiply the function by 3. Therefore, the equation of g(x) is:

g(x) = 3 * [2(1/3)^(x-3) + 1]

Simplifying this expression further:

g(x) = 6 * (1/3)^(x-3) + 3

Thus, the equation of g(x) is:

g(x) = 6(1/3)^(x-3) + 3