Answer: last option.
Explanation:
There are several transformations for a function f(x). Some of them are shown below:
1. If
, then the function is translated "k" units up.
2. If
, then the function is translated "k" units down.
3. If
, then the function is translated "k" units left.
4. If
, then the function is translated "k" units right.
In this case you have the following function:
![h(x)=log_6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/ao9ysk3g3sn7g97uakfqld1xog8r0vinsj.png)
And the function m(x) is obtained by transformating the function h(x). This function is:
![m(x)=log_6(x+3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6wvk8xwjn8ere2roji06vmepjd9dm60y9o.png)
Then, based on the transformatios shown before, you can identify that:
![m(x)=h(x+3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s18upivjoe7gs083zozbabtk9q26b8h96c.png)
Therefore, you can determine that you could graph the function
by translating each point of the graph of the function h(x) 3 units left.