document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117656>Question 1117656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the image of a point under a dilation centered at (0,0) with the given scale factor.\r<BR>\n" );
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document.write( "(-4,7)<BR>\n" );
document.write( "scale factor=0.2<BR>\n" );
document.write( "i don't understand how to do centered dilations can some one please help me and show me step by step </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732767 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=732767\">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( "If the dilation is centered at the origin, then take the scale factor and multiply it times each of the coordinates of the given point to obtain the coordinates of the image.\r<BR>\n" );
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document.write( "Do not confuse the \"conversational\" meaning of dilation with the mathematical meaning.  Conversationally, we think of dilation as something getting bigger, like when you go to the eye doctor and have your pupils dilated.  But mathematically, a dilation is simply a change in size, getting either larger or smaller.  In the case of your given problem, the point actually gets closer to the origin as if the picture were shrinking.\r<BR>\n" );
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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" );
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