document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378510>Question 378510</A>: <I><SPAN STYLE=\"word-break: break-all;\">                                   <BR>\n" );
document.write( "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 following given points: (-2,7)(1,-2)(2,3). I am REALLY not at all sure about this! I know my \"x\" in the quad eq. corresponds to the x-coordinate, and the \"y\" likewise, but how is this denoted, and how do you get just one quad eq. from a system of three? Please help! I'm not even sure where to begin! Thx!\r<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 #268882 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=268882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plugging the points into the general equation will give you a system of three equations in a, b, and c<BR>\n" );
document.write( "just solve the system for the three values\r<BR>\n" );
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document.write( "7 = a(-2)^2 + b(-2) + c ___ 7 = 4a - 2b + c\r<BR>\n" );
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document.write( "-2 = a(1)^2 + b(1) + c ___ -2 = a + b + c\r<BR>\n" );
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document.write( "3 = a(3)^2 + b(3) + c ___ 3 = 9a + 3b + c </SPAN>\n" );
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