document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52826>Question 52826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you graph volume?  I have this equation that I received help in obtaining the answer but I don't know how to graph it.  V(x) = 4x^3 - 28x^ + 48x I have graph 4.0.1 but I can't figure out how to graph in it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35234 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=35234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph of your equation is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-50%2C50%2C4x%5E3-28x%5E2%2B48x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-50%2C50%2C4x%5E3-28x%5E2%2B48x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Note you can factor out 4x to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%28x%5E2-7x%2B12%29 ALIGN=MIDDLE  ALT=\"4x%28x%5E2-7x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which further factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%28x-3%29%28x-4%29 ALIGN=MIDDLE  ALT=\"4x%28x-3%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Taking those three factors shows us that the graph should cross the x-axis when x=0, x=3, and x=4.  All that means when x has those values, y is 0. </SPAN>\n" );
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