document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38158>Question 38158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ok I need to graph and get the intercepts for the problem y = -4x^2 +16x - 12 I know its a downward cone shape but I cannot get the vertex or the intercepts right. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23656 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=23656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hey ... we did this one on the phone today. :)  Glad you made it to the site :)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-4x%5E2+%2B16x+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+-4x%5E2+%2B16x+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the intercepts, assume y = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-4x%5E2+%2B16x+-+12+ ALIGN=MIDDLE  ALT=\"+0+=+-4x%5E2+%2B16x+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by -4 throughout<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E2+%2B+4x+-+3+ ALIGN=MIDDLE  ALT=\"+0+=+x%5E2+%2B+4x+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28x-3%29%28x-1%29+ ALIGN=MIDDLE  ALT=\"+0+=+%28x-3%29%28x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "set both parts equal to 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+-+x-3+ ALIGN=MIDDLE  ALT=\"+0+-+x-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x+-+1+ ALIGN=MIDDLE  ALT=\"+0+=+x+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = {1, 3}\r<BR>\n" );
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document.write( "Now for the line os symmetry ... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-b%2F2a+ ALIGN=MIDDLE  ALT=\"+x+=+-b%2F2a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use the +16 from the Original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-16%2F2%28-4%29+ ALIGN=MIDDLE  ALT=\"+x+=+-16%2F2%28-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-16%2F-8+ ALIGN=MIDDLE  ALT=\"+x+=+-16%2F-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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( "Well, yes, 2 is 1/2 way between 1 and 3 so this makes sense.<BR>\n" );
document.write( "Plug this x value into the original equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-4x%5E2+%2B16x+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+-4x%5E2+%2B16x+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-4%282%29%5E2+%2B16%282%29+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+-4%282%29%5E2+%2B16%282%29+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-4%284%29+%2B16%282%29+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+-4%284%29+%2B16%282%29+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-16+%2B16%282%29+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+-16+%2B16%282%29+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-16+%2B32+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+-16+%2B32+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+16+-+12+ ALIGN=MIDDLE  ALT=\"+y+=+16+-+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+4+ ALIGN=MIDDLE  ALT=\"+y+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so now your Vertex is (2,4)<BR>\n" );
document.write( "your three point to graph are:<BR>\n" );
document.write( "(1,0)  (3,0)  (2,4)<BR>\n" );
document.write( "the vertex is a maximum and the Parabala opens down because the leading coefficient is negative.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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