
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 graph of the function $y=2^x$ to the left by one unit to obtain the graph $C_1$. Further translate $C_1$ upward by one unit to get the graph $C_2$. Then, reflect $C_2$ across the line $y=x$ to obtain the graph $C_3$. Find the equation of $C_3$.

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