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: 25

Answer

(a) center $(h,k)=(1,2)$ and radius $r=3$. (b) See graph. (c) $(1\pm\sqrt 5,0)$, $(0,2\pm2\sqrt 2)$.

Work Step by Step

(a) Given $x^2+y^2-2x-4y-4=0\longrightarrow (x-1)^2+(y-2)^2=9$, we can find the center $(h,k)=(1,2)$ and radius $r=3$. (b) See graph. (c) We can find the x-intercept(s) (let y=0) $(1\pm\sqrt 5,0)$, y-intercept(s) (let x=0) $(0,2\pm2\sqrt 2)$.
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