document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168348>Question 168348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you find the coordinates of the vertex for the following quadratic function?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7x%5E2%2B6x-5 ALIGN=MIDDLE  ALT=\"y=7x%5E2%2B6x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124159 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=124159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 7x^2 + 6x -5\r<BR>\n" );
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document.write( "In this equation, a = 7, b = 6 and c = -5\r<BR>\n" );
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document.write( "We need to find the point (h,k), which is our vertex.\r<BR>\n" );
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document.write( "First we find h using: h = -b/2a\r<BR>\n" );
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document.write( "h = -6/2(7)\r<BR>\n" );
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document.write( "h = -6/14\r<BR>\n" );
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document.write( "h = -3/7\r<BR>\n" );
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document.write( "We now need to find k.\r<BR>\n" );
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document.write( "Plug -3/7 into the function given and simplify.\r<BR>\n" );
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document.write( "y = 7(-3/7)^2 + 6(-3/7) - 5\r<BR>\n" );
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document.write( "y = 7(9/49) - (18/7) - 5\r<BR>\n" );
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document.write( "y = (9/7) - (18/7) - 5\r<BR>\n" );
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document.write( "y = -9/7 - 5/1\r<BR>\n" );
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document.write( "y = -21/7\r<BR>\n" );
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document.write( "y = -3\r<BR>\n" );
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document.write( "The vertex is (-3/7, - 3)\r<BR>\n" );
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document.write( "Sorry for the wrong answer yesterday.\r<BR>\n" );
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