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.
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 11 - Section 11.1 - Three-Dimensional Coordinate Systems - Exercises - Page 599: 15
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