document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370505>Question 370505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the rule for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a 90 degree rotation counterclockwise? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264092 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the rule for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a 90 degree rotation counterclockwise?<BR>\n" );
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document.write( "2 to the left: x goes to x+2<BR>\n" );
document.write( "3 up: y goes to y+3<BR>\n" );
document.write( "90 degree rotation counterclockwise: (x,y) goes to (-y,x)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Rule: <BR>\n" );
document.write( "If you start with y = x<BR>\n" );
document.write( "2 to the left gives y= x+2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "then 3 up gives y = x+2+3 <BR>\n" );
document.write( "or y = x+5<BR>\n" );
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document.write( "then the rotation gives:<BR>\n" );
document.write( "x = -y+5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Final result is y = -x+5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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