Checking on the bird and feeding it isn t enough.
Most birds are social creatures and NEED interaction, especially if there is only one.
If you aren t spending an hour or two a day INTERACTING with your bird, I mean playing with it or training it, then your bird isn t getting enough attention.
Don t let your attachment to the bird overrule what is best for the bird.
I recently came into a situation where a Goffin Cockatoo who had been mostly alone in her cage for the last five years needed a home. I wasn t sure about being the forever home but knew I could foster her for a while. I spend about an hour hanging out with her every morning and at least an hour or two every night. Sometimes she s sitting on my shoulder while I work on the computer, do light chores or watch movies, sometimes it is actively training her. On days I don t work I spend a lot more time with her. This is what a bird needs. Sitting in a cage all day they get depressed and are very very lonely.
So...to answer your question, if your parents see you DIRECTLY interacting with the bird, hanging out with it and training it, they will be more likely to beleive the bird is getting enough attention. If you train the bird to do tricks, that will be a real demonstration of your time with the bird.
I've been training my new friend to target and touch...and because I train my dogs in front of her she has learned to spin and twirl very quickly by watching them. In fact, if I am training the dogs in front of her she gets excited, climbs to where ever she is closest to us and demands to be part of the training session.