document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916126>Question 916126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Draw the graphs of each of the following on the coordinate axes below:\r<BR>\n" );
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document.write( "f(x) = 12x^3 - 12x^2 - 24x\r<BR>\n" );
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document.write( "f(x) = (1/64)(x-3)^2(x+4)^3\r<BR>\n" );
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document.write( "Please explain in detail how I would figure these out/set them up. I am so lost right now I don't know where to start....\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 #555912 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+12x%5E3+-+12x%5E2+-+24x+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+12x%5E3+-+12x%5E2+-+24x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "choose several values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get ordered pairs:\r<BR>\n" );
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document.write( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+12%2A0%5E3+-+12%2A0%5E2+-+24%2A0=0+ ALIGN=MIDDLE  ALT=\"f%280%29+=+12%2A0%5E3+-+12%2A0%5E2+-+24%2A0=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+12%2A1%5E3+-+12%2A1%5E2+-+24%2A1=12-12-24=-24 ALIGN=MIDDLE  ALT=\"f%281%29+=+12%2A1%5E3+-+12%2A1%5E2+-+24%2A1=12-12-24=-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29+=+12%2A%28-1%29%5E3+-+12%2A%28-1%29%5E2+-+24%2A%28-1%29=-12-12%2B24=0 ALIGN=MIDDLE  ALT=\"f%28-1%29+=+12%2A%28-1%29%5E3+-+12%2A%28-1%29%5E2+-+24%2A%28-1%29=-12-12%2B24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+12%2A2%5E3+-+12%2A2%5E2+-+24%2A2=12%2A8-12%2A4-24%2A2=96-48-48=96-96=0 ALIGN=MIDDLE  ALT=\"f%282%29+=+12%2A2%5E3+-+12%2A2%5E2+-+24%2A2=12%2A8-12%2A4-24%2A2=96-48-48=96-96=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29+=+12%2A%28-2%29%5E3+-+12%2A%28-2%29%5E2+-+24%2A%28-2%29=12%2A%28-8%29-12%2A4-24%2A%28-2%29=-96-48%2B48=-96 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29+=+12%2A4%5E3+-+12%2A4%5E2+-+24%2A4=12%2A64-12%2A16-24%2A4=768-192-96=480 ALIGN=MIDDLE  ALT=\"f%284%29+=+12%2A4%5E3+-+12%2A4%5E2+-+24%2A4=12%2A64-12%2A16-24%2A4=768-192-96=480\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4 ALIGN=MIDDLE  ALT=\"x=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29+=+12%2A%28-4%29%5E3+-+12%2A%28-4%29%5E2+-+24%2A%28-4%29=12%2A%28-64%29-12%2A16-24%2A%28-4%29=-864 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you got points: (0,0), (1,-24),(-1,0),(2,0),(-2,-96),(4,480,(-4,-864)\r<BR>\n" );
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document.write( "plot them and draw a line through:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+10%2C+-1000%2C+1000%2Ccircle%28-4%2C-864%2C.2%29%2C++circle%284%2C480%2C.2%29%2C++circle%28-2%2C-96%2C.2%29%2C++circle%282%2C0%2C.2%29%2C++circle%28-1%2C0%2C.2%29%2C++circle%281%2C-24%2C.2%29%2C++circle%280%2C0%2C.2%29%2C++graph%28+600%2C+600%2C+-10%2C+10%2C+-1000%2C+1000%2C+12x%5E3+-+12x%5E2+-+24x+%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "I believe you can do same with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%281%2F64%29%28x-3%29%5E2%28x%2B4%29%5E3 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%281%2F64%29%28x-3%29%5E2%28x%2B4%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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