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: 17

Answer

center $(2,-1)$, radius $r=3$

Work Step by Step

Rewrite the equation and form squares of $x,y$, we have $x^2-4x+4+y^2+2y+1=4+4+1\longrightarrow (x-2)^2+(y+1)^2=9$. Thus, the equation represents a circle with center at $(2,-1)$ and radius $r=3$
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