In general, say:(adsbygoogle = window.adsbygoogle || []).push({});

we have a surface: y^2/4 - x^2/3 - z^2 = 1

I know that this is a hyperboloid of 2 sheets, since the xz trace:

x^2/3 + z^2 =-1 doesn't exist,

But for the other traces:

xy trace: y^2/4 - x^2/3 = 1 and yz trace: y^2/4 - z^2 = 1

Which are both hyperbolas - how do I sketch these? What should I be looking at in the 2 equations:

xy trace: y^2/4 - x^2/3 = 1 and yz trace: y^2/4 - z^2 = 1

...to help me understand where they are positioned on the graph (intercepts, vertices, etc...)

Thanks,

Jeff

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Quadric Surfaces Strategy

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