Answer
A parabola in the xy-plane.
Work Step by Step
$z=0$ is the xy-plane
$y=x^{2}$ intersected with any plane $z=k$, is a parabola.
So this is (see image below) a parabola in the xy-plane.
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 12: Vectors and the Geometry of Space - Section 12.1 - Three-Dimensional Coordinate Systems - Exercises 12.1 - Page 695: 15
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