1.8 Graphing Surfaces

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the 7 graphing surfaces types and their relevant information

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7 Terms

1
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Paraboloid

z = x2 + y2

  • (aka bowl)

2
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Parabolic Cylinder

z = x2

  • y can be anything

3
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Right Circular Cylinder

x2 + y2 = 4

  • z can be anything

4
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Double Cone

z2 = x2 - y2

5
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Hyperbolic Paraboloid

z = x2 - y2

  • (aka saddle)

6
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Sphere

x2 + y2 + z2 = 9

  • (of radius 3)

7
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Plane

ax + by + cz + d = 0