Every fingering that fits a hand
535000
easy
532000
easy
535400
moderate
535500
moderate
502503
moderate
What is true of it
Am9 is A, C, E, G and B — 1, b3, 5, b7 and 9 counted from A.
On an instrument that cannot reach all 5, the 5 and 1 go first, in that order.
The easiest of the 5 fingerings below is 535000: 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.
Where its notes are on the neck
The brass dots are A, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Am9/C
x32000
Am9/E
032000
Am9/G
332000
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.