Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.4 - Rotation of Axes - Concept and Vocabulary Check - Page 1009: 2


$parabola$; $ellipse$, $circle$; $hyperbola$.

Work Step by Step

We can use the value of the determinant $B^2-4AC$ to identify the types of conic section. If $B^2-4AC=0$, we have a $parabola$ If $B^2-4AC\lt0$, we have an $ellipse$ or a $circle$ If $B^2-4AC\gt0$, we have a $hyperbola$.
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