Graphing Parametric Functions Ti-84 Plus CE

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I am currently studying for the Math 2 SAT and when dealing with Parametric equations I tend to graph them.

I recently tried graphing the parametric equation: x = T^2 + T y = T^2 - T. Original Problem

When graphing this on my Ti-84 Plus CE this is the graph that came up: Ti-84 Plus Graph

The correct graph that led to the correct answer in my book was: Correct Graph

What could have possibly led to the graph being cut of, could it be that the domain was restricted?
And If so, are there solutions to view the whole graph?