Fred and diana want their children to "find their own path in life." as a result, they place very few demands on their children's behavior and provide lots of love but very few rules. according to baumrind's theory of parenting, they are using a parentingstyle.

Permissive parenting style

Explanation:

Permissive parenting style is a type of parenting style that was described by Diana Baumarind. It is defined by low demands and high responsiveness. These types of parents love their children more and of course, prove less information about rules and regulations. These parents behave with their children in a friendly way rather than show a mature behavior with their children. These type of parents also called a type of helicopter parents. These parents hardly impose rules and regulations on their children. So that these children have less self-control and self-regulation in their life

Thus here Fred and Dianna are of the permissive type of parents who wants their children to find their path in their life.  

the best and most correct answer among the choices provided by the question is the second choice "less supportive to the war of 1812"

the war of 1812 was a military conflict that lasted from june 1812 to february 1815, fought between the united states of america and the united kingdom, its north american colonies, and its native american allies.

i hope my answer has come to your . god bless and have a nice day ahead!