
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 parabola $C$: $y^{2}=2px(p > 0)$ with focus $F$, the intersection of the line $y=4$ and the $y$-axis is point $P$, and its intersection with $C$ is point $Q$. If $|QF|= \frac {5}{4}|PQ|$, find the equation of $C$.

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