
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
Below is the graph of a function, $y = f(x)$:

\[ f(x) = 2 - \frac{x^2}{3} \]

If the graph of $y = f(x-2)$ (shifted two units to the right) is drawn on the same set of axes as the graph of $y = f(x)$, then the two graphs intersect at some point. Determine the sum of the coordinates of the intersection point.

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