document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127804>Question 127804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I'm having trouble finding the vertex of this function. Can you help me?\r<BR>\n" );
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document.write( "y = 6x^2 + 7x + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93609 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93609\">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+=+6x%5E2+%2B+7x+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+6x%5E2+%2B+7x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The vertex of a parabola expressed in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-b%2F2a%29 ALIGN=MIDDLE  ALT=\"f%28-b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "So, the x-coordinate of the vertex of your function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F12 ALIGN=MIDDLE  ALT=\"-7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "and the y-coordinate is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-7%2F12%29=6%28-7%2F12%29%5E2%2B7%28-7%2F12%29%2B1 ALIGN=MIDDLE  ALT=\"f%28-7%2F12%29=6%28-7%2F12%29%5E2%2B7%28-7%2F12%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-7%2F12%29=294%2F144-49%2F12%2B1 ALIGN=MIDDLE  ALT=\"f%28-7%2F12%29=294%2F144-49%2F12%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-7%2F12%29=294%2F144-588%2F144%2B144%2F144 ALIGN=MIDDLE  ALT=\"f%28-7%2F12%29=294%2F144-588%2F144%2B144%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-7%2F12%29=-150%2F144 ALIGN=MIDDLE  ALT=\"f%28-7%2F12%29=-150%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-7%2F12%29=-25%2F24 ALIGN=MIDDLE  ALT=\"f%28-7%2F12%29=-25%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the vertex is at:  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F12 ALIGN=MIDDLE  ALT=\"-7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25%2F24 ALIGN=MIDDLE  ALT=\"-25%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C600%2C-3%2C3%2C-3%2C3%2Cgrid%281%29%2C%0D%0Agraph%28600%2C600%2C-3%2C3%2C-3%2C3%2C6x%5E2+%2B+7x+%2B+1%2C-25%2F24%29%2C%0D%0Agreen%28line%28-7%2F12%2C3%2C-7%2F12%2C-3%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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