Answer
Hyperbolic paraboloid.
Work Step by Step
The equation can be rewritten in the form
$$
z= \left(\frac{x}{3\sqrt{2}}\right)^{2}-\left(\frac{y}{4\sqrt{2}}\right)^{2}
$$
which is a hyperbolic paraboloid.
(See equations on page 691-692.)
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 703: 56
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