how is the parents of day act throughout the story i can't figure that one out

All of the protagonists in Legend are primarily driven by love for their families. This love takes many different forms, positive and negative. After Metias dies, June has no family, so she instead focuses on getting revenge for his murder. Day, on the other hand, stays in Los Angeles despite the danger and the miserable conditions so he can continue to provide for his mother and brothers. Lu also acknowledges the importance of adopted families. Tess becomes as important to Day as a blood sibling; at the end of the novel, he decides to check on her even before rescuing Eden. Similarly, Lu hints that by the end of the novel, June has begun to see Tess and Day as her family. This interpretation of their relationship helps explain why their friendship allows June to finally let go of her anger about Metias's death.