
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 $F$ is the focus of the parabola $y^{2}=x$, and $P$ is a moving point on the parabola. The distance from $P$ to the directrix of the parabola is $d$.
(1) If $A( \frac {5}{4}, \frac {3}{4})$, find the minimum value of $PF+PA$;
(2) If $B( \frac {1}{4},2)$, find the minimum value of $PB+d$.

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