document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002510>Question 1002510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the quadratic function that includes the following sets? (0,6) (2,14), (4,-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619384 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ax^2+bx+c=0<BR>\n" );
document.write( "c=6, using the first point.<BR>\n" );
document.write( "4a+2b+6=14<BR>\n" );
document.write( "4a+2b=8<BR>\n" );
document.write( "2a+b=4<BR>\n" );
document.write( "16a+4b+6=-2<BR>\n" );
document.write( "16a+4b=-8<BR>\n" );
document.write( "4a+b=-2<BR>\n" );
document.write( "-2a-b=-4, negating the first<BR>\n" );
document.write( "2a=-6, adding<BR>\n" );
document.write( "a=-3<BR>\n" );
document.write( "b=10<BR>\n" );
document.write( "-3x^2+10x+6=0\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C20%2C-3x%5E2%2B10x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C20%2C-3x%5E2%2B10x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );