Answer
See graph, $y= (x+4)^2$
Work Step by Step
1. See graph for $(2t-4,4t^2)$ over $-\infty\lt t\lt\infty$
2. From $x=2t-4$, we have $t=\frac{x+4}{2}$, thus $y=4(\frac{x+4}{2})^2=(x+4)^2$
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: 14
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