Parent’s right(s)s and the underlying legal principle which authorizes state intervention

The cases cited in the text (Meyer, Pierce and Prince) have a common theme related to the state’s authority to regulate the family and a parent’s constitutional right to raise their child as they see fit. Identify and explain the underlying legal principle which justifies the parent’s right(s)s and the underlying legal principle which authorizes state intervention? Do these three cases identify an explicit constitutional right that belongs to a child separate and apart from the rights that belong to a parent in the family setting?