
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
To make the graph of the inverse proportion function $y=\frac{6}{x}$ pass through the point $\left(3,4\right)$, the feasible schemes for transforming the graph are____$($only fill in the numbers).<br/>①Translate $3$ units upwards;<br/>②First translate $2$ units to the right, then translate $2$ units downwards;<br/>③Reflect across the line $y=3$;<br/>④First reflect across the line $x=2$, then translate $1$ unit to the right.

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