College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 102: 71

Answer

center: $(-3, 4)$ radius: $5$ units Refer to the image below for the graph.
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Work Step by Step

RECALL: The circle $(x--h)^2+(y-k)^2=r^2$ has its center at $(h, k)$ and a radius of $r$ units. The given equation can be written as $(x+3)^2+(y-4)^2=5^2$, which is in the same form as the one in the recall part above. Thus, the circle has: its center at $(-3, 4)$; a radius of 5 units Plot the center. Then, plot the following points: 5 units above the center: $(-3, 9)$ 5 units below the center: $(-3, -1)$ 5 units to the left of the center: $(-8, 4)$ 5 units to the right of the center: $(2, 4)$ Connect the four points (not including the center) using a curve to form a circle.
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