
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
Let the function \(h(x)\) be defined as a transformation of the function \(y = f(x)\), where \(f(x)\) is the same function from the initial problem. If \(h(x)\) is obtained by stretching \(f(x)\) vertically by a factor of 2 and then shifting it upwards by 3 units, express \(h(x)\) in terms of \(f(x)\).

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