Graphing a Shifted Elliptic Paraboloid in 3D

In this video I graph a shifted and horizontal elliptic paraboloid, which is a quadric surface that opens up along parabolic traces while the cross-section has elliptical traces. This is the same shape as in my earlier video but this time the elliptic paraboloid is shifted so that the origin is (3, 1, 0) and opens horizontally parallel to the y-axis.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 8: Shifted Elliptic Paraboloid: 0:00
- Solution: Completing the square: 0:20
- Comparing equation with Table 1: 4:53
- Elliptic paraboloid is shifted and parallel to y-axis: 6:55
- Vertical traces in y = k plane are ellipses: 7:17
- Horizontal traces (and vertical x = k plane) are parabolas: 8:17
- Sketching the elliptic paraboloid: 9:39
- Graphing in GeoGebra: 11:09

Full video below:

- Cylinders and Quadric Surfaces: https://youtu.be/k4EyLr4uOUA
- HIVE video notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u
- Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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