By process of eliim you can get to that answer
Auto dom - edit* one could actually almost make an arguement for this but having an affected father III-1 give birth to 3 unaffected children is unlikely
Auto rec- usually these are rare traits and there is just too much pink at first glance. for both I-1/2 and II-4/5 having all affected progeny is unlikely
Xdom- father would affect all daughts
Xrec- father II-5 would have to be affected
that would leave you with mito inheritance. It seems that for gen 4 it skip a generation but really that mother is just affected and the father IV-3 isnt contributing squat from the cytoplasm. IF that mother IV-4 was unaffected you may be able to argue some form of paternal imprinting but I don't think thats on the scope of the DAT
Mitochondria are inherited only in the maternal ova and not in sperm. Therefore, a pattern of inheritance associated with alterations in mitochondrial DNA gives a pattern of the condition affecting males and females, but always being maternally inherited. An affected male does not pass on his mitochondria to his children, so all his children will be unaffected.