Final answer:
The parent's assurance is an example of high-level parental warmth, which is typical of the authoritative parenting style and promotes healthy child development and secure attachment.
Step-by-step explanation:
The parent encouraging the child to stop crying with the assurance of going home soon is demonstrating high-level parental warmth. This interaction does not restrict the child's behavior with strict rules (low-level parental control), rather it offers comfort and reassurance. Parenting styles like authoritative parenting are characterized by warmth and responsiveness, which promote positive child outcomes, including a healthy self-concept and secure attachment. High parental warmth is crucial for emotional support, which is necessary for the child's socioemotional growth. Conversely, styles such as authoritarian and uninvolved tend to lack warmth and are associated with negative outcomes in children's development.