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: 24

Answer

(a) center $(h,k)=(-1,1)$ and radius $r=\sqrt 2$. (b) See graph. (c) $(-2,0),(0,0),(0,2)$.

Work Step by Step

(a) Given $3(x+1)^2+3(y-1)^2=6\longrightarrow (x+1)^2+(y-1)^2=2$, we can find the center $(h,k)=(-1,1)$ and radius $r=\sqrt 2$. (b) See graph. (c) We can find the x-intercept(s) (let y=0) $(-2,0),(0,0)$, y-intercept(s) (let x=0) $(0,2),(0,0)$.
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