Know that an apparent E in bass clef (to us treble readers) is a G.
Thus:
C=E, D=F, E=G.
C#=E#/F, D#=F#, A#=C#
i.e., treble clef is a third higher but without changing the key signature.
From Bb to C is one step up. To go from bass clef trombone, you have to transpose up one whole step and read a fourth higher.
SO! If the original notation is in the key of Bb (two flats, Bb and Eb) for trombone in bass clef, you would play everything on the page up one whole step in the key of C (no flats/sharps).
hope you can figure it out.
Cheers!
Aaron N.