I am trying to call a method in my root view controller from a child view controller such that when I change my options they will automatically update the root view, which w
In this case, you don't need to use either delegation or notification because you don't really need to communicate directly between your views. As gerry3 said, you need to change the data model itself and then let all other views respond to that change.
Your data model should be an independent object that all your view controllers have access to . (The lazy way is to park it as an attribute of the app delegate.) When the user makes a change in View A, View A's controller writes that change to the data model. Then whenever Views B through Z open up, their controllers read the data model and configure the views appropriately.
This way, the neither the views, nor their controllers need to be aware of each other and all changes occur in one central object so they are easily tracked.