document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33778>Question 33778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation in the form y=ax^2 + bx + c  for the quadratic function whose graph passes through the points (8,0) (0,8) (-2,0). Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20221 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> AX^2+BX+C=Y...IS SATISFIED BY (8,0);(0,8);(-2,0)..SO SUBSTITUTING WE GET..<BR>\n" );
document.write( "A*8^2+B*8+C=0...OR...64A+8B+C=0......................................I<BR>\n" );
document.write( "A*0^2+B*0+C=8....................OR...........C=8.................II<BR>\n" );
document.write( "A*(-2)^2+B*(-2)+C=0.....OR.......4A-2B+C=0...................III<BR>\n" );
document.write( "SUBSTITUTING C=8 IN EQN.I AND EQN.III WEW GET<BR>\n" );
document.write( "64A+8B+8=0....OR.....8A+B+1=0................................IV<BR>\n" );
document.write( "4A-2B+8=0.......OR....2A-B+4=0............................V<BR>\n" );
document.write( "EQN.IV+EQN.V...GIVES<BR>\n" );
document.write( "10A+5=0...OR....A=-5/10=-1/2<BR>\n" );
document.write( "SO 2*(-1/2)-B+4=0<BR>\n" );
document.write( "-1-B+4=0<BR>\n" );
document.write( "B=3<BR>\n" );
document.write( "SO THE QUADRATIC IS <BR>\n" );
document.write( "Y=-X^2/2+3X+8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );