Answer
See graph, $y=2x^2, x\ge0$
Work Step by Step
1. See graph for $(\sqrt {2t},4t)$ over $t\ge 0$
2. From $y=4t$, we have $t=y/4$, thus $x=\sqrt {2t}=\sqrt {\frac{y}{2}}$ or $y=2x^2, x\ge0$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Section 9.7 Plane Curves and Parametric Equations - 9.7 Assess Your Understanding - Page 714: 10
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