
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
Given the function $f(x) = 2^x$, transform the graph by translating it one unit to the left to obtain $C_1$, and then translate $C_1$ one unit upwards to get $C_2$. Then, draw the symmetric graph $C_3$ of $C_2$ with respect to the line $y = x$, and determine the analytic expression of $C_3$.

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