
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Translate the function $f_1(x) = 3^x$ horizontally by 2 units to the right to obtain the graph of $f_2(x)$. Then, reflect $f_2(x)$ about the y-axis to obtain the graph of $f_3(x)$. What is the function expression for $f_3(x)$?

Present the answer in LaTex format: \boxed{Your answer}
user