Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.4 Circles - F.4 Assess Your Understanding - Page 38: 33

Answer

(a). $(h,k)=(-2,0), r=2$. (b). See graph. (c). $(-4,0),(0,0)$

Work Step by Step

(a). $x^2+4x+y^2=0\longrightarrow (x+2)^2+(y)^2=4$, thus $(h,k)=(-2,0), r=2$. (b). See graph. (c). For x-intercept(s), let $y=0$, we get $(-2\pm2,0)$ or $(-4,0),(0,0)$, for y-intercept(s), let $x=0$, we get $(0,0)$.
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