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

exponential graph passing through point 2, 3.

The transformed function is:

g(x)=f(x-2)

Step-by-step explanation:

We are given a parent function f(x) as:

Now some transformation is appplied to the function f(x) such that the transformed function is a exponential function that passes through the point (2,3).

Let the transformed function be denoted by g(x).

Hence, the transformation is:

g(x)=f(x-2)

This implies

Since, at x=2 we have:

Hence, the function passes through the point  (2,3)

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