Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.3 - Matrix Operations and Their Applications - Exercise Set - Page 918: 54

Answer

The translated matrix is $B=\left[ \begin{matrix} 2 & 5 & 5 & 3 & 3 & 2 \\ -3 & -3 & -2 & -2 & 2 & 2 \\ \end{matrix} \right]$ The resulting graph is shown below:
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Work Step by Step

Translate the L 2 units to the right and 3 units down by adding 2 to each $x\text{-coordinate}$ and subtracting 3 from each $y\text{-coordinate}$. That is, $\begin{align} & B=\left[ \begin{matrix} 0 & 3 & 3 & 1 & 1 & 0 \\ 0 & 0 & 1 & 1 & 5 & 5 \\ \end{matrix} \right]+\left[ \begin{matrix} 2 & 2 & 2 & 2 & 2 & 2 \\ -3 & -3 & -3 & -3 & -3 & -3 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} 2 & 5 & 5 & 3 & 3 & 2 \\ -3 & -3 & -2 & -2 & 2 & 2 \\ \end{matrix} \right] \end{align}$
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