Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.3 - The Hyperbola - Exercise Set - Page 789: 50

Answer

True

Work Step by Step

Standard form of an hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$ The statement is true because the graph of the equation $\dfrac{x^2}{4}-\dfrac{y^2}{4}=1$ and the graph of the equation $\dfrac{y^2}{4}-\dfrac{x^2}{4}=1$ defines a hyperbola whose transverse axis is parallel to $x$-axis and the point on the graph of a hyperbola approaches to the same aysmptotes .
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