document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29915>Question 29915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem:\r<BR>\n" );
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document.write( "Determine whether the graph of each parabola opens upward or downward.\r<BR>\n" );
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document.write( "g(x)=x^+x-6\r<BR>\n" );
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document.write( "Came up with this so far:<BR>\n" );
document.write( "x=-b/a  x=-1/2\r<BR>\n" );
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document.write( "now I am stuck...where do I go from here?\r<BR>\n" );
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document.write( "Any help would be greatly appreciated. Thank you in advance.<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 #16717 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=16717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graph of the parabola opens upward or downward.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x%5E2%2Bx-6 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x%5E2%2Bx-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the coefficient of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >term is positive, the parabola opens upward, if it is negative, then it opens downward.\r<BR>\n" );
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document.write( "In this case, the coefficient is +1 so the parabola opens upward.\r<BR>\n" );
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document.write( "If you want to find the location of the vertex of the parabola, then you can use the fact that the x-coordinate of the vertex is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F2a ALIGN=MIDDLE  ALT=\"x+=+-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > a = 1 and b = 1, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2F2 ALIGN=MIDDLE  ALT=\"x+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > now substitute this value of x into the original equation and solve for g(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%28-1%2F2%29%5E2%2B%28-1%2F2%29-6 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%28-1%2F2%29%5E2%2B%28-1%2F2%29-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%281%2F4%29-%281%2F2%29-6 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%281%2F4%29-%281%2F2%29-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+-6.25 ALIGN=MIDDLE  ALT=\"g%28x%29+=+-6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The vertex is located at:(-0.5, -6.25)\r<BR>\n" );
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document.write( "Here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-8%2C4%2Cx%5E2%2Bx-6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-8%2C4%2Cx%5E2%2Bx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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