document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126553>Question 1126553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the function y = f(x) is increasing on the interval (4, 7). Over what interval is the graph of<BR>\n" );
document.write( "y = f(x + 8) increasing? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742864 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = f(x+8) is shifted to the left 8 units.\r<BR>\n" );
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document.write( "therefore, if f(x) is increasing in the interval of (4,7), then y = f(x + 8) should be increasing in the interval of (-4,-1).\r<BR>\n" );
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document.write( "you should be able to take any function and show that this is true.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "let y = f(x) = x^2 - 10\r<BR>\n" );
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document.write( "when x = 4, y = 6<BR>\n" );
document.write( "when x = 7, y = 39\r<BR>\n" );
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document.write( "let y = f(x+8) = (x+8)^2 - 10\r<BR>\n" );
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document.write( "when x = -4, y = 6<BR>\n" );
document.write( "when x = -1, y = 39\r<BR>\n" );
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document.write( "note that -4 + 8 = 4 and -1 + 8 = 7.\r<BR>\n" );
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document.write( "so f(4) = 6 and f(-4+8) = f(4).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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