Precalculus (10th Edition)

by Sullivan, Michael

Published by Pearson

ISBN 10: 0-32197-907-9

ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.4 Circles - 1.4 Assess Your Understanding - Page 38: 3

Answer

False.

Work Step by Step

False. With the given form, it is possible to get the standard form $(x-h)^2+(y-k)^2=p$. using completing the square. However, it may happen that $p\lt 0$ which means that the graph would not be a circle.

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