
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
Let F be the focus of the parabola $C: y= \frac {1}{4}x^{2}$, and the curve $y= \frac {k}{x}$ ($k>0$) intersects C at point P. If $PF$ is perpendicular to the y-axis, then $k= \_\_\_\_\_\_$.

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