Pitch Question

Hello everyone, I just started using garageband and have a coupe simple questions about the pitch.
when you change the pitch does it effect the whole song??
say if i recorded a C major chord with a keyboard and if i changed the pitch to F major, would it change the C major to a F major chord??
Or say i recorded a vocal track and sang in the key of C major and changed the pitch/key to F major would it change my vocal track and make it sound as if i was singing in the key of F major??

Please help
Thanks