document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415324>Question 415324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would appreciate help with this problem. \r<BR>\n" );
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document.write( "Write an equation for the translation of y=4/x that has the asymptotes x=7 and x=6.\r<BR>\n" );
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document.write( "I tried using the method in my Algebra 2 book, but it doesn't really explain how to do it. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291196 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=291196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> did you mean x = 7 and y = 6 ?????\r<BR>\n" );
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document.write( "the equation is shown below with asymptotes at x = 0 and y = 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-30%2C30%2C-30%2C30%2C4%2Fx%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-30%2C30%2C-30%2C30%2C4%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "add 6 to the equation to move the y asymptote to y = 6.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-30%2C30%2C-30%2C30%2C4%2Fx+%2B+6%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-30%2C30%2C-30%2C30%2C4%2Fx+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "subtract 7 from the denominator in the equation to move the x asymptote to 7.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-30%2C30%2C-30%2C30%2C4%2F%28x-7%29+%2B+6%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-30%2C30%2C-30%2C30%2C4%2F%28x-7%29+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your final equation is 4/(x-7) + 6.\r<BR>\n" );
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document.write( "i'm not totally sure this is what you want, but it looks like it might be.\r<BR>\n" );
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document.write( "your vertical asymptote occurs when the denominator in the equation is equal to 0.\r<BR>\n" );
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document.write( "if the denominator is equal to x, then the vertical asymptote is equal to 0.\r<BR>\n" );
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document.write( "if the denominator is equal to (x-7), then the vertical asymptote is equal to 7 because 7-7 = 0.\r<BR>\n" );
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document.write( "your horizontal asymptote occurs when the value of y approaches a number other than infinity as the value of x approaches infinity.\r<BR>\n" );
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document.write( "in the equation y = 4/(x-7) we already made the vertical asymptote equal to 7.\r<BR>\n" );
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document.write( "as the value of x approaches infinity, the value of (x-7) also approaches infinity.\r<BR>\n" );
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document.write( "as the value of (x-7) approaches infinity, the value of y = 4/(x-7) approaches 0.\r<BR>\n" );
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document.write( "if we want the value of y to approach 6 as the value of (x-7) approaches infinity, then we need to add 6 to the equation to get:\r<BR>\n" );
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document.write( "y = 4/(x-7) + 6 </SPAN>\n" );
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