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Quadratic Surfaces

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lerekapo's version from 2016-02-09 18:12

Section

Question Answer
Any two variables (the third undefined)Cylinder
3 Positive Coefficients (x2+y2=z2 = 4)Ellipsoid
One Negative Coefficient (x2+y2-z2 = 5)Hyperboloid (1 Sheet - Open on opposite signed var)
Two Negative Coefficients (x2-y2-z2 = 5)Hyperboloid (2 Sheets - Open on opposite signed var)
1-2 negative coefficient, var = 0 (x2+y2-z2 = 0)Cone
x2+y2=z -- x/y have same signElliptic Paraboloid (Opens on linear term +=up, -=down)
x2-y2=z -- x/y have opposite signHyperbolic Paraboloid (Think of PRINGLES)
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