Once you know the basic system of moveable major chord shapes (the C, A, G, E and D forms) it is possible to alter some of the notes to create other chord types, e.g. minor chords. The positions of the root notes remain the same regardless of the chord type. Shown below are the five basic forms as open position minor chords.
Cm
Am
Gm
Em
Dm
Like major chords, these minor forms can be joined end to end in the same order (CAGED) to cover the whole fretboard. The diagrams below show the five basic forms of moveable minor chords.
C Form
A Form
G Form
E Form
D Form
The example below demonstrates all five forms being played as C minor chords. Practice them slowly and memorize the shapes and positions of the root notes. When you can do this easily, transpose them to other keys.
The following example uses an F minor chord shape which requires the use of a half bar across three strings. The term "half bar" means the first finger is barring some strings, but not all six. Practice playing it both as a full chord and an arpeggio until you can sound all the notes clearly and then play the whole example.
Fm