
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 that the vertex of a parabola is at the origin, it passes through point A(-4, 4) and its focus lies on the x-axis.
(1) Find the equation of the parabola.
(2) Line l passes through point B(-1, 0), and the length of the chord formed by its intersection with the parabola is 8. Find the equation of line l.

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