Mami has always had gay friends so when I came out, at first she thought I was joking
but she accepted it with no hesitation and even now we have this close relationship where we share what's going on in our lives (I live independently).
As for papi, it's a complicated one. He has a gay lawyer friend whom he talks to regularly but when I was a child, he'd call gay men "fa**ots" and question how can a man love another man etc and was disgusted by it. When I came out, he was in denial and wouldn't discuss it. My parents marriage fell apart shortly after so maybe it's my fault... But anyway, we still don't talk about till this day, but when I see him, he isn't as distant and he even gave a card for my bday that said he's proud to have me as his son. He hasn't said the word f*g in years and he doesn't judge gay people anymore in front of me.
I guess in a way, he thought gay meant a girly, frail and weak man who took it up the A. I'm relatively masculine and I get most of my personality traits from him so maybe I taught him, in a sense, gay people can be men too, but "men" in HIS definition, if I make sense. All in all, no, my parents are not homophobic