College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Exercise Set 6.3 - Page 625: 50


$BZ=\left[\begin{array}{l} -x\\ y \end{array}\right]$ $(x,y)\mapsto(-x,y)$ is a reflection about the y-axis.

Work Step by Step

$CZ=\left[\begin{array}{ll} -1 & 0\\ 0 & 1 \end{array}\right]\left[\begin{array}{l} x\\ y \end{array}\right]=\left[\begin{array}{l} -1(x)+0y\\ 0x+1(y) \end{array}\right]=\left[\begin{array}{l} -x\\ y \end{array}\right]$ If the point (x,y) is transformed into ($-x,y$), it has been reflected about the y-axis. Reflecting all vertices about the y-axis results in reflecting the graphic about the y-axis.
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