Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.4 Circles - 1.4 Assess Your Understanding - Page 38: 31

Answer

(a) $(\frac{1}{2},-1)$, $\frac{1}{2}$. (b) see graph. (c) $(0,-1)$

Work Step by Step

(a) Given $x^2+y^2-x+2y+1=0$, form squares to get $(x-\frac{1}{2})^2+(y+1)^2=\frac{1}{4}$. We can identify its center $(h,k)=(\frac{1}{2},-1)$ and radius $r=\frac{1}{2}$. (b) see graph. (c) We can find the x-intercepts ($none$). The y-intercept is $(0,-1)$
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