document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638959>Question 638959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the parabola passing through the points (0,4), (1,2), and (-1,8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403057 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=403057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the parabola passing through the points (0,4), (1,2), and (-1,8)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Quadratic equation:<BR>\n" );
document.write( "y=Ax^2+Bx+C<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(0,4)<BR>\n" );
document.write( "4=0+0+C<BR>\n" );
document.write( "c=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(1,2)<BR>\n" );
document.write( "2=A+B+4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(-1,8)<BR>\n" );
document.write( "8=A-B+4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2=A+B+4<BR>\n" );
document.write( "8=A-B+4<BR>\n" );
document.write( "add<BR>\n" );
document.write( "10=2A+8<BR>\n" );
document.write( "2A=2<BR>\n" );
document.write( "A=1<BR>\n" );
document.write( "B=2-A-4=-3<BR>\n" );
document.write( "C=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation of parabola:<BR>\n" );
document.write( "y=x^2-3x+4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );