
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 parabola $C$: $y^{2}=2px (p > 0)$ passes through its focus, and intersects with a line having a slope of $2\sqrt{2}$ at points $A(x_{1},y_{1})$ and $B(x_{2},y_{2}) (x_{1} < x_{2})$, with $|AB|=9$.

(1) Find the equation of the parabola;

(2) Given that $O$ is the origin, and $C$ is a point on the parabola, if $\overrightarrow{OC}=\overrightarrow{OA}+λ\overrightarrow{OB}$, find the value of $λ$.

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