I don’t see the passage you want us to read. Sry.
Answer:
Her mother painted the room her favorite colors (pink and yellows).
Explanation:
You use parentheses to insert extra information that a statement would still be correct without. So you can't have parentheses around parts of a sentence that, if removed, would make the sentence incomplete.
The answer I chose here doesn't need to say that the mother's favourite colours are pink and yellow for the sentence to be complete, so it is stated in parentheses. Removing the part in parentheses would not make the sentence incomplete because the sentence still works without it.
In all the other statements, removing the part in parentheses would have the statements make no sense, which means that the parentheses are incorrectly placed.
Answer:
i don't really know about the answer I'm sorry i wasn't taught about it in school
The piece of equipment that saves his life is in fact his woven mail shirt.
(Sources: http://csis.pace.edu/grendel/projf981d/analysis.html)