Answer
$$ y =x^2$$
Work Step by Step
Given $$ x=t^{-1},\ \ \ \ y= t^{-2},$$
Since $ t=\dfrac{1}{x}$, then
\begin{align*}
y&=\frac{1}{t^2}\\
&=\frac{1}{(1/x)^2}\\
&=x^2
\end{align*}
i.e.
$$ y =x^2$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Exercises - Page 603: 8
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