Every fingering that fits a hand
x563
easy
aa88
hard
aa8x
easy
What is true of it
Fsus4 is F, B♭ and C — 1, 4 and 5 counted from F.
These are also the notes of B♭sus2/F and A♯sus2/F. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 3 fingerings below is x563: 3 fingers, held at the 3rd fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
1 string stays silent.
Where its notes are on the neck
The brass dots are F, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Fsus4/B♭
3011
Fsus4/C
x011
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.