document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318026>Question 318026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help with this: Use translations of one of the basic functions to sketch a graph of y=f(x)\r<BR>\n" );
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document.write( "y=/x-6/-5\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227694 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=227694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29 ALIGN=MIDDLE  ALT=\"y=abs%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (basically a 'v' shaped graph with the vertex at the origin)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cabs%28x%29%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now shift the graph 6 units to the right to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x-6%29 ALIGN=MIDDLE  ALT=\"y=abs%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this graph is in green)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cabs%28x%29%2Cabs%28x-6%29%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, move the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x-6%29 ALIGN=MIDDLE  ALT=\"y=abs%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 5 units down to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x-6%29-5 ALIGN=MIDDLE  ALT=\"y=abs%28x-6%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this graph is in blue)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cabs%28x%29%2Cabs%28x-6%29%2Cabs%28x-6%29-5%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: \r<BR>\n" );
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document.write( "So the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x-6%29-5 ALIGN=MIDDLE  ALT=\"y=abs%28x-6%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is\r<BR>\n" );
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