One possible analysis could be that it might explore the complex relationship between Vegeta and Trunks. Maybe in this fanfiction, Vegeta's strict training methods could be seen as 'hurting' Trunks in a sense, like pushing him too hard physically or emotionally. It could also delve into how Trunks copes with that and if it ultimately makes him stronger.
It could be that Vegeta is influenced by some external force or an old Saiyan belief that makes him act in a way that hurts Trunks. Maybe he believes that only through extreme hardship can Trunks reach his true potential. So he subjects Trunks to dangerous situations or withholds his affection. As the fanfiction progresses, Trunks could start to rebel against Vegeta's ways, and they would have to navigate through their differences and find a middle ground.
Another reaction could be that Bulma tries to communicate with Vegeta. She would sit him down and try to talk about how his actions are making her feel. However, if Vegeta is unresponsive or dismissive, it would only add to her heartbreak.
One possible story could be where Vegeta accidentally says something really hurtful during an argument about his training obsession, making Bulma feel neglected. Another could involve Vegeta's Saiyan pride causing him to make a decision that directly impacts Bulma negatively, like leaving for a dangerous mission without considering her feelings.
Vegeta might also feel a sense of pride and anticipation. He's been through a lot, and having a child with Bulma is a new chapter in his life. He could start training even harder to make sure he can protect his family, and at the same time, he might have some tender moments with Bulma where he shows his care in his own unique Saiyan way.
Well, perhaps in the fanfiction, Vegeta's Saiyan temper gets the best of him. He might accidentally let out a powerful blast of energy near Bulma or Trunks, endangering them. Also, his pride could make him say some cutting words to Trunks about not being strong enough, which would surely wound Trunks' self - esteem. And with Bulma, his lack of understanding of Earthling emotions could lead to him making decisions that go against her wishes, causing her pain.
Their relationships are often shown as loving yet complex. Vegeta, who was once a cold - hearted warrior, has a soft spot for his family. He is protective of Bulma and Baby Trunks. Bulma is the brains of the family, and she manages to keep Vegeta in check. Baby Trunks is the source of joy and also a reason for Vegeta to strive to be a better person.
A possible scenario is that Vegeta gets involved in a fight that he knows is dangerous but still pursues it, and as a result, his enemies target Bulma and Trunks. Another is that he may be under some sort of mind control in the fanfiction and end up attacking them unknowingly. Also, his pride - driven actions, like trying to prove himself as the strongest, could lead to situations where Bulma and Trunks are put at risk, for example, if he challenges a much stronger opponent near their home.
Fanfiction can explore their relationship by looking at their cultural differences. Vegeta is a Saiyan from a warrior race, while Bulma is a human scientist. Baby Trunks is a mix of both. So, a story could be about how they teach Trunks about his dual heritage, like Vegeta teaching him about Saiyan pride and Bulma teaching him about human values like kindness and curiosity.
A fanfiction could focus on a day in the life of the family. Bulma could be working on some new invention in her lab, Vegeta is training hard outside, and Baby Trunks is getting into all sorts of cute mischief. Then, something unexpected like a small alien invasion occurs near their home, and they all have to work together to deal with it.