document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721340>Question 721340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the quadratic function that fits the set of data points.\r<BR>\n" );
document.write( "\n" );
document.write( "(-3,-5), (-2,-8), (6,-248) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442319 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=442319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the quadratic function that fits the set of data points.<BR>\n" );
document.write( "ax^2 + bc + c = y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for a,b,c:<BR>\n" );
document.write( "--- <BR>\n" );
document.write( "(-3,-5) gives: 9a -3b + c = -5<BR>\n" );
document.write( "(-2,-8) gives: 4a -2b + c = -8<BR>\n" );
document.write( "(6,-248)gives:36a+ 6b + c = -248<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "I used a matrix function on my TI-84 to get:<BR>\n" );
document.write( "a = -3<BR>\n" );
document.write( "b = -18<BR>\n" );
document.write( "c = -32<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = -3x^2 -18x - 32<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" );