
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
The function $y = \sin x$ is translated to the right by $\frac{\pi}{8}$ and then the $x$-coordinates of all points on the resulting graph are stretched to twice their original length. Determine the analytic expression of the new function.

A) $y = \sin(\frac{x}{2} - \frac{\pi}{8})$
B) $y = \sin(\frac{x}{2} + \frac{\pi}{8})$
C) $y = \sin(2x - \frac{\pi}{8})$
D) $y = \sin(2x - \frac{\pi}{4})$

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