Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Summary Exercises on Graphs, Circles, Functions, and Equations - Exercises - Page 248: 20

Answer

center $(-1,-8)$, radius $r=2$

Work Step by Step

Rewrite the equation and form squares of $x,y$, we have $x^2+2x+1+y^2+16y+64=1+64-61\longrightarrow (x+1)^2+(y+8)^2=4$. Thus, the equation represents a circle with center at $(-1,-8)$ and radius $r=2$
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