A common definition of metaphor can be described as a comparison that shows how two things that are not alike in most ways are similar in another important way. They explain how a metaphor is simply understanding and experiencing one kind of thing in terms of another, called a "conduit metaphor".
A metaphor is when a word or phrase is applied to an object or action to which it is not literally applicable.
The two things being compared are woods to savior, Katniss sees the woods as a place of safety, where she is able to find plants and she kills animals to eat or trade at the Hob, also she has a feeling of connection with her father.
It's going from a root to something else, so it would be a carrot, because a carrot is a root. just like potatoes, beets, and other vegetables of the like.
