document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=796530>Question 796530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find values of a, b, and c such that the graph of the polynomial p(x)=ax^2+bx+c passes through the points (1,2), (-1,6), and (2,3).<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481430 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=481430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find values of a, b, and c such that the graph of the polynomial p(x)=ax^2+bx+c passes through the points (1,2), (-1,6), and (2,3).<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Use ax^2 + bx + c = y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Using (1,2) you get:: a + b + c = 2<BR>\n" );
document.write( "Using (-1,6) you get: a - b + c = 6<BR>\n" );
document.write( "Using (2,3) you get: 4a + 2b + c = 3<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Using a matrix function on my TI-84 I get:<BR>\n" );
document.write( "a = 1 <BR>\n" );
document.write( "b = -2<BR>\n" );
document.write( "c = 3<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );