I looked at the following question:
And I thought that the answer would be A since all modulus values are positive but the answer is really E which I don't get. Could someone please explain for me?
That answer depends upon the strict definition of graph.
That is the set of all ordered pairs that satisfy a condition.
Think about this: $\displaystyle |2|=|-2|~,~|-2|=|-2|~,~|2|=|2|~,|-2|=|2|$ so the graph contains all of these points $\displaystyle (2,-2)~,~ (-2,-2)~,~ (2,2)~,~ (-2,2)$.
I hope that helps.