The graph below shows three planes, x = a, y = b, and z = c. The values of a, b, and c can be varied with sliders which in turn move the planes. The trace in each plane of a surface will be visible. Investigate the changing shapes of the traces to complete the following exercises.
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Exercises
14. Describe the family of traces in the planes x = a.
15. Describe the family of traces in the planes y = b.
16. Describe the family of traces in the planes z = c.
17. Identify the quadric surface illustrated by the traces and then make a sketch of the surface.