Question

What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?

Answer 1

just did this question for an online class and the correct answer is f(x +2)

:D hope this helps

Answer 2

First we rewrite the function:
 f (x) = 3 * (2) ^ x
 Then, we have the following fact that is a fact of the problem:
 "exponential graph passing through point 0, 5"
 Thus,
 Original graphic:
 f (x) = 3 * (2) ^ x
 f (0) = 3 * (2) ^ 0
 f (0) = 3
 Graph with transformation:
 g (x) = 3 * (2) ^ x + 2
 g (0) = 3 * (2) ^ 0 + 2
 g (0) = 3 + 2
 g (0) = 5
 Go through the point (0, 5)
 Therefore the graph is:
 g (x) = 3 * (2) ^ x + 2
 g (x) = f (x) + 2
 answer:
 f (x) + 2