document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183444>Question 1183444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of Triangle DEF are D=(-4,4), E=(0,4), and F=(6,6). Use Matrix multiplication to reflect Triangle DEF across the x-axis. Draw the pre-image and image in a coordinate plane. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813811 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Convert each of the ordered pairs to a single column matrix: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \begin{pmatrix} x \\ y \end{pmatrix}\">\r<BR>\n" );
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document.write( "Then multiply the reflection across the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">-axis transformation matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}\">\r<BR>\n" );
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document.write( "For example, for point D: (-4,4):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}\,\cdot\,\begin{pmatrix} -4 \\ 4 \end{pmatrix}\ =\ \begin{pmatrix} -4 \\ -4 \end{pmatrix}\">\r<BR>\n" );
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document.write( "Hence D': (-4,-4)\r<BR>\n" );
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document.write( "You can do the other two yourself.\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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