Answer
hyperbola.
Work Step by Step
Comparing the given equation with the general form $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$, we have $A=4, C=-9$. Since $AC=-36\lt 0$, the equation represents a hyperbola.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 9 - Section 9.3 - The Parabola - Exercise Set - Page 997: 51
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