Answer: OPTION B.
Step-by-step explanation:
Below are some transformations for a function f(x):
1. If
and
, the function is compressed horizontally by a factor of
.
2. If
and
, the function is stretched horizontally by a factor of
.
3. If
and
, the function is compressed vertically by a factor of "b".
4. If
and
, the function is stretched vertically by a factor of "b".
In this case you have the function f(x):
![f(x)=6^{x-2}](https://tex.z-dn.net/?f=f%28x%29%3D6%5E%7Bx-2%7D)
And the function g(x):
![g(x)=0.4(6)^{x-2}](https://tex.z-dn.net/?f=g%28x%29%3D0.4%286%29%5E%7Bx-2%7D)
So, you can identify that:
and ![0](https://tex.z-dn.net/?f=0%3Cb%3C1)
Therefore, the graph of the function g(x) is a vertical compression of the graph of function f(x).