gramatyka prosze o pomoc

jesli mam takie zdanie: The teacher informed my parents after seeing me with a cigarette.I mam ulozyc od HAVING...
Having saw me with a cigarette, the teacher informed my parents bedzie dobrze?prosze o pomoc

po tym having musi byc trzecia forma, jak w present perfect
wiec
having seen

dzieki.Ale to we wszytkich zdaniach bedzie wystepowac np. He went shopping when he finished cleaning the house->Having shopped he finished cleaning the house?

odwrotnie!!!