document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142809>Question 1142809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a single translation that has the same effect as each composition of translations. (x, y) → (x  -  7, y + 8) followed by (x, y) → (x + 5, y  -  6).\r<BR>\n" );
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document.write( "1.  (x,y)→(x  -  1,y  -  1)<BR>\n" );
document.write( "2. (x,y)→(x  -  13,y  -  14)<BR>\n" );
document.write( "3. (x,y)→(x  -  12,y  -  14)<BR>\n" );
document.write( "4. (x,y)→(x  -  2,y+2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763544 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Both transformations are simply rigid translations in the plane.<br><BR>\n" );
document.write( "The first shifts left by 7 and the second shifts right by 5; the result is a shift left by 2.<br><BR>\n" );
document.write( "The first shifts up by 8 and the second shifts down by 6; the result is a shift up by 2.<br><BR>\n" );
document.write( "So the combination gives the translation \"left 2, up 2\".<br><BR>\n" );
document.write( "Which answer choice is that? </SPAN>\n" );
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