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I am learning about quadric surfaces in my second year multivariable calculus course.

I would like to know how most people would identify (find the name of) a quadric surface if they had the equation. We only need to know 6 different quadric surfaces, so should I ...

(a) memorize the equations to identify the surface, or

(b) sketch out what the xy-, xz-, and yz-planes look like, sketch out the surface to see what it looks like, then identify it?

What do

*you*do?

Thanks in advance.