document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=486883>Question 486883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=1/2x^2+6x+11\r<BR>\n" );
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document.write( "Use the vertex formula to find the vertex.\r<BR>\n" );
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document.write( "Type answer as an ordered pair. Simplify. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332826 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=332826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the equation is in the form <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+ax%5E2+%2B+bx+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+ax%5E2+%2B+bx+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the vertex <BR>\n" );
document.write( "is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x+=+-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=+f%28x%29=+%281%2F2%29%2Ax%5E2+%2B+6x+%2B+11 ALIGN=MIDDLE  ALT=\"+f%28x%29=+%281%2F2%29%2Ax%5E2+%2B+6x+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+-6%2F%282%2A%281%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-6%2F%282%2A%281%2F2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+-6+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now put this value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the<BR>\n" );
document.write( "equation to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <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;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=+%281%2F2%29%2A%28-6%29%5E2+%2B+6%2A%28-6%29+%2B+11 ALIGN=MIDDLE  ALT=\"+f%28x%29=+%281%2F2%29%2A%28-6%29%5E2+%2B+6%2A%28-6%29+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+18+-+36+%2B+11+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+18+-+36+%2B+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-7+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertex is at (-6, -7)<BR>\n" );
document.write( "Here is a plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-14%2C+6%2C+-10%2C+10%2C+%281%2F2%29%2Ax%5E2+%2B+6x+%2B+11%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-14%2C+6%2C+-10%2C+10%2C+%281%2F2%29%2Ax%5E2+%2B+6x+%2B+11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );