document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263489>Question 263489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stuck on finding a quadratic model for (1,-2), (2,-2), (3,-4). I do not know how to put x numbers and y numbers in the formulas and how to solve the answer? How do you get the three equations with variables a, b, and c?<BR>\n" );
document.write( "How do you find the values for a,b, and c?\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194217 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=194217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> general equation ___ y = ax^2 + bx + c\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in this case:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for (1,-2) ___ -2 = a(1)^2 + b(1) + c ___ a + b + c = -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for (2,-2) ___ -2 = a(2)^2 + b(2) + c ___ 4a + 2b + c = -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for (3,-4) ___ -4 = a(3)^2 + b(3) + c ___ 9a + 3b + c = -4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "three equations and three unknowns </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );