document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378563>Question 378563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have to find the quadratic function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >whose graph passes through the given points: (-1,6)(1,4)(2,9). I know the \"x\"s in the quadratic equation will correspond to the x-coordinates in the three ordered pairs, and I also know this will be a quadratic system. I took a stab at it, but I'm doubtful about it. What i have so far is:<BR>\n" );
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document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=a%2A-1%5E2%2Bb%2A-1%2Bc ALIGN=MIDDLE  ALT=\"6=a%2A-1%5E2%2Bb%2A-1%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=a%2A1%5E2%2Bb%2A1%2Bc ALIGN=MIDDLE  ALT=\"4=a%2A1%5E2%2Bb%2A1%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=a%2A2%5E2%2Bb%2A2%2Bc ALIGN=MIDDLE  ALT=\"9=a%2A2%5E2%2Bb%2A2%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which i THINK is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-ax%5E2%2B-bx%2Bc ALIGN=MIDDLE  ALT=\"-ax%5E2%2B-bx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B2b%2Bc ALIGN=MIDDLE  ALT=\"2x%5E2%2B2b%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ok. that's as far as i got, and it's dubious at best!! Please help! how do i denote the quadratics using the given ordered pairs, then how do i arrive at just one quadratic equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268903 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you're almost finished\r<BR>\n" );
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document.write( "you've generated a system of three equations in a, b, and c\r<BR>\n" );
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document.write( "just solve the system for the three values\r<BR>\n" );
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document.write( "6 = a - b + c\r<BR>\n" );
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document.write( "4 = a + b + c\r<BR>\n" );
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document.write( "9 = 4a + 2b + c </SPAN>\n" );
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