document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129813>Question 129813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help finding the vertex of the parabola\r<BR>\n" );
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document.write( "f(x)=-x2+3x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94795 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=94795\">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+=+-x%5E2+%2B+3x+-+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-x%5E2+%2B+3x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > value at the vertex is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28b%2F2a%29 ALIGN=MIDDLE  ALT=\"-%28b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "when equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"y+=+ax%5E2+%2B+bx+%2B+c\"   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 ALIGN=MIDDLE  ALT=\"a+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3 ALIGN=MIDDLE  ALT=\"b+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28b%2F2a%29+=+-%283%2F%282%2A%28-1%29%29%29 ALIGN=MIDDLE  ALT=\"-%28b%2F2a%29+=+-%283%2F%282%2A%28-1%29%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=-%28b%2F2a%29+=+3%2F2 ALIGN=MIDDLE  ALT=\"-%28b%2F2a%29+=+3%2F2\"   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+=+-x%5E2+%2B+3x+-+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-x%5E2+%2B+3x+-+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%283%2F2%29+=+-%283%2F2%29%5E2+%2B+3%283%2F2%29+-+1 ALIGN=MIDDLE  ALT=\"f%283%2F2%29+=+-%283%2F2%29%5E2+%2B+3%283%2F2%29+-+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%283%2F2%29+=+-%289%2F4%29+%2B+18%2F4+-+4%2F4 ALIGN=MIDDLE  ALT=\"f%283%2F2%29+=+-%289%2F4%29+%2B+18%2F4+-+4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%2F2%29+=+5%2F4 ALIGN=MIDDLE  ALT=\"f%283%2F2%29+=+5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertex is at (3/2,5/4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+700%2C+700%2C+-2%2C+5%2C+-2%2C+3%2C+-x%5E2+%2B+3x+-+1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+700%2C+700%2C+-2%2C+5%2C+-2%2C+3%2C+-x%5E2+%2B+3x+-+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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