document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117532>Question 1117532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Q(-3,4), R(-2,-1), T(3,1), W(3,5) is a quadrilateral and Q'(-27,36) is the image of Q under a dilation centered at the origin find W' </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732648 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I changed your question so that it makes sense.  If point Q has the coordinates (-3, 4), then point Q always has the coordinates (-3, 4). if there is an image of Q under any sort of transformation, then that image must have a different name.  So I made your image labels Q' and W'.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In general, if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A(x,\,y)\"> has an image under dilation about the origin, then the coordinates of that image must be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A'(\alpha x,\,\alpha y)\">, where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \alpha\"> is some real number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In this case:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-27}{-3}\ =\ \frac{36}{4}\ =\ 9\">, hence each of the coordinates of W' must be 9 times the coordinates of W.  You can do your own arithmetic.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );