document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094691>Question 1094691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the (x,y) coordinate of the maximum or minimum value<BR>\n" );
document.write( "of the following quadratic equation:-1/6x^2-1/3x+8=y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709243 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709243\">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=+y+=+%28-1%2F6%29%2Ax%5E2+-+%281%2F3%29%2Ax+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%28-1%2F6%29%2Ax%5E2+-+%281%2F3%29%2Ax+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The x-value of the vertex <BR>\n" );
document.write( "( maximum or minimum ) is at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-1%2F6+ ALIGN=MIDDLE  ALT=\"+a+=+-1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-1%2F3+ ALIGN=MIDDLE  ALT=\"+b+=+-1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+%281%2F3%29+%2F+%28+-1%2F3%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+%281%2F3%29+%2F+%28+-1%2F3%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%5Bv%5D+=+-1+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plug this value back into equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5Bv%5D+=+%28-1%2F6%29%2A%28-1%29%5E2+-+%281%2F3%29%2A%28-1%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+y%5Bv%5D+=+%28-1%2F6%29%2A%28-1%29%5E2+-+%281%2F3%29%2A%28-1%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5Bv%5D+=+-1%2F6+%2B+1%2F3+%2B+8+ ALIGN=MIDDLE  ALT=\"+y%5Bv%5D+=+-1%2F6+%2B+1%2F3+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5Bv%5D+=+1%2F6+%2B+48%2F6+ ALIGN=MIDDLE  ALT=\"+y%5Bv%5D+=+1%2F6+%2B+48%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5Bv%5D+=+49%2F6+ ALIGN=MIDDLE  ALT=\"+y%5Bv%5D+=+49%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "The vertex is at ( -1, 49/6 )<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C400%2C+-9%2C+7%2C+-2%2C+10%2C+%28-1%2F6%29%2Ax%5E2+-+%281%2F3%29%2Ax+%2B+8+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );