
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
Circle $U$ has its center at point $U(3, -4)$. Circle $U$ is reflected across the $y$-axis and then translated 5 units up. What are the coordinates of the image of the center of circle $U$?

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