Answer
Ellipse
Work Step by Step
Given: $9(x-1)^{2}+4(y-2)^{2}=36$
Divide by $36$.
$\frac{(x-1)^{2}}{4}+\frac{(y-2)^{2}}{9}=1$
which is a standard form of an Ellipse.
Here, $(h,k)=(1,2)$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
APPENDIX C - Graphs of Second-Degree Equations - C Exercises - Page A 23: 25
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