document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52346>Question 52346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of the relation y-x^2 = 1/2x+y is stretched vertically by a factor of 4 and stretched horizontally by a factor of 7. Give the equation of the relation described by this new geaph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34946 by </B><A HREF=/tutors/aboutme.mpl?userid=ChillyWiz><B>ChillyWiz(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ChillyWiz><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=34946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think... when an equation is \"stretched\", what happens?\r<BR>\n" );
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document.write( "To stretch a whole function by a factor of 4 vertically, f(x) -> 4*f(x)<BR>\n" );
document.write( "To stretch a whole function by a factor of 7 horizontally, f(x) -> f(x/7)\r<BR>\n" );
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document.write( "But since this is an relation, lets solve for x instead of y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-x%5E2+=+%281%2F2%29x+%2B+y ALIGN=MIDDLE  ALT=\"y-x%5E2+=+%281%2F2%29x+%2B+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2+=+%281%2F2%29x ALIGN=MIDDLE  ALT=\"-x%5E2+=+%281%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2x%5E2 ALIGN=MIDDLE  ALT=\"x+=+-2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282x%2B1%29=0 ALIGN=MIDDLE  ALT=\"x%282x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is basically the graph of two vertical lines<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%281%2F2%29 ALIGN=MIDDLE  ALT=\"x=-%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a vertical line stretched 4 times vertically will still be the same<BR>\n" );
document.write( "a vertical line stretched 7 times horizontally will still be the same\r<BR>\n" );
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document.write( "The stretched relation will still be the same as the original equation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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