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Quadratic Surfaces

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pasevoza's version from 2016-09-15 02:27

Section

Question Answer
Any two variables (the third undefined)Cylinder
3 Positive Coefficients
(x^2+y^2+z^2 = 4)
Ellipsoid
One Negative Coefficient
(x^2+y^2 = z^2 + 5)
Hyperboloid (1 Sheet - Open on opposite signed var) HOURGLASS
Two Negative Coefficients
(x^2-y^2-z^2 = 5)
Hyperboloid (2 Sheets - Open on opposite signed var) 2 BOWLS missing center
1-2 negative coefficient, var = 0 (x^2+y^2 = z^2)Cone
x/y have same sign
(x^2+y^2 = z)
Elliptic Paraboloid (Opens on linear term +=up, -=down) BOWL
x^2-y^2 = z
have opposite sign
Hyperbolic Paraboloid PRINGLE OR SADDLE
memorize

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