Question

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

Answer 1

Answer:

The transformed function is:

g(x)=f(x-2)

Step-by-step explanation:

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

$f(x)=3\times 2^x$

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

$g(x)=3\times 2^{x-2}$

Since, at x=2 we have:

$g(x)=3\times 2^{2-2}\\\\g(x)=3\times 2^0\\\\g(x)=3$

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

Answer 2

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