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In this video I will explain how can we tell if an equation is a parabola in 3 dimensions. Surprisingly the equation of a parabola, y-x^2, is the same in 2 and 3 dimensions. So the only way we can tell if the equation is in 3 dimensions is by context, or stated in the problem. z can have any value.

Next video in the series can be seen at:
https://youtu.be/E3hi6eZKEP0