Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.9 - The Coordinate Plane; Graphs of Equations; Circles - 1.9 Exercises - Page 105: 121

Answer

See the images below.

Work Step by Step

$(a)$ Symmetry about $x$-axis is to change a point $A(x, y)$ to $A'(x, -y)$. See the image (a) above. In this case reflect each of the inflection points and then connect them to form a graph. $(b)$ Symmetry about $y$-axis is to change a point $A(x, y)$ to $A'(-x, y)$. See the image (b) above. In this case reflect each of the inflection points and then connect them to form a graph. $(c)$ Symmetry about origin is to change a point $A(x, y)$ to $A'(-x, -y)$. See the image (c) above. In this case reflect each of the inflection points and then connect them to form a graph.
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