Respuesta :

if you mean -2 and 3. than the answer would be f(x +2)

Answer:

The transformed function is:

g(x)=f(x-2)

Step-by-step explanation:

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

[tex]f(x)=3\times 2^x[/tex]

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

[tex]g(x)=3\times 2^{x-2}[/tex]

Since, at x=2 we have:

[tex]g(x)=3\times 2^{2-2}\\\\g(x)=3\times 2^0\\\\g(x)=3[/tex]

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

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