
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
Consider the original function $y = f(x)$ from the graph. Let another function $h(x)$ be defined as \(h(x) = 2f\left(2x + 3\right) + 1\).
Using the same graph for $y = f(x)$ as given in the original problem, determine the ordered triple \( (a, b, c) \) that correctly transforms $y = f(x)$ into $y = h(x)$.

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