
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
Given the function $y = \sin(2x + \phi) + A$, where $x \in \mathbb{R}$.

(1) Find its amplitude, period, and initial phase;
(2) When the function $y$ reaches its maximum value, find the set of the independent variable $x$;
(3) How can the graph of this function be obtained from the graph of $y = \sin x$ ($x \in \mathbb{R}$) through translation and scaling transformations?

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