
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
Suppose the function $g(x)$ is defined on domain $\{x_1,x_2,x_3\}$ such that the graph of $y=g(x)$ consists of just three points, forming a triangle of area $48$. Consider the graph of $y = 3g(\frac{x}{4})$. What is the area of the triangle formed by these three points?

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