Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 13 - Conic Sections - Mid-Chapter Review - Mixed Review - Page 873: 16

Answer

Hyperbola

Work Step by Step

$x=\frac{9}{y}$ Rearrange the equation, $xy=9$ Compare it with the standard equation of a hyperbola $xy=c$ where the asymptotes are the axes. $x=\frac{9}{y}$ Now choose some values of x and compute the corresponding y values. $\begin{matrix} x & y \\ 1 & 9 \\ 3 & 3 \\ -1 & 9 \\ -3 & -3 \\ \end{matrix}$ Now, plot all the values.
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