document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191633>Question 1191633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the image of point  (5, 3)  when it is rotated  1/4 of a turn counter-clockwise around the point  (-1,4) .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823450 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=823450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a far less formal method for answering the question.<br><BR>\n" );
document.write( "The displacement (I will avoid the use of the formal word \"vector\") from the center of the rotation (-1,4) to the given point (5,3) is \"6 right, down 1\".<br><BR>\n" );
document.write( "When the point is rotated 1/4 turn counterclockwise about (-1,4), the \"6 right\" becomes \"up 6\" and the \"down 1\" becomes \"right 1\".<br><BR>\n" );
document.write( "So the image of the point (5,3) under the given rotation is (-1+1,4+6) = (0,10).<br><BR>\n" );
document.write( "ANSWER: (0,10)<br><BR>\n" );
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