document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059038>Question 1059038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for a parabola that passes through the given points.<BR>\n" );
document.write( "(6, 27), (5, 18), (-4, 27), (-3, 18) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674116 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=674116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ax^2+bx+c=y<BR>\n" );
document.write( "36a+6b+c=27<BR>\n" );
document.write( "25a+5b+c=18<BR>\n" );
document.write( "16a-4b+c=27<BR>\n" );
document.write( "9a-3b+c=18<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "36a+6b+c=16a-4b+c, because both of these were equal to 27<BR>\n" );
document.write( "20a=-10b<BR>\n" );
document.write( "b=-2a<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "36a-12a+c=27<BR>\n" );
document.write( "25a-10a+c=18<BR>\n" );
document.write( "24a+c=27<BR>\n" );
document.write( "15a+c=18<BR>\n" );
document.write( "c=27-24a=18-15a<BR>\n" );
document.write( "9a=9<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "b=-2<BR>\n" );
document.write( "c (from first equation)36-12+c=27, or c=3<BR>\n" );
document.write( "Check {1,-2,3} in the other equations ANSWER<BR>\n" );
document.write( "25-10+3=18<BR>\n" );
document.write( "16+8+3=27<BR>\n" );
document.write( "9+6+3=18\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );