# QUADRIC FUNCTIONS (CALC III/MATH 241 UIUC)

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ELLIPTIC PARABOLOID

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## Description and Tags

### 8 Terms

1

ELLIPTIC PARABOLOID

z/c = x^2/a^2 + y^2/b^2

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2

HYPERBOLIC PARABOLOID

z/c = x^2/a^2 - y^2/b^2 z/c = y^2/b^2 - x^2/a^2

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3

ELLIPSOID

x^2/a^2 + y^2/b^2 + z^2/c^2 = 1

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4

DOUBLE CONE

z^2 = x^2 + y^2

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5

HYPERBOLOID OF ONE SHEET

x^2/a^2 + y^2/b^2 - z^2/c^2 = 1

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6

HYPERBOLOID OF TWO SHEETS

-x^2/a^2 - y^2/b^2 + z^2/c^2 = 1

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7

HYPERBOLA (HORIZONTAL TRANSVERSE)

x^2 - y^2 = 1

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8

HYPERBOLA (VERTICAL TRANSVERSE)

y^2 - x^2 = 1

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