document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662682>Question 662682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hye!please help me on this Q..<BR>\n" );
document.write( "find the eqn of parabola that has a horizontal axis and passes through the points (-1,1), (11,-2), (5,-1).<BR>\n" );
document.write( "thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412863 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=412863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the eqn of parabola that has a horizontal axis and passes through the points (-1,1), (11,-2), (5,-1).<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y=Ax^2+Bx+C<BR>\n" );
document.write( "..<BR>\n" );
document.write( "  1=A(-1)^2+B(-1)+C<BR>\n" );
document.write( "-2=A(11)^2+B(11)+C<BR>\n" );
document.write( "-1=A(5)^2+B(5)+C<BR>\n" );
document.write( "..<BR>\n" );
document.write( "  1=A-B+C<BR>\n" );
document.write( "-2=121A+11B+C<BR>\n" );
document.write( "-1=25A+5B+C<BR>\n" );
document.write( "..<BR>\n" );
document.write( "  1=A-B+C<BR>\n" );
document.write( "-2=121A+11B+C<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "3=-120A-12B<BR>\n" );
document.write( "..<BR>\n" );
document.write( "  1=A-B+C<BR>\n" );
document.write( "-1=25A+5B+C<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "2=-24A-6B<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3=-120A-12B<BR>\n" );
document.write( "4=-48A-12B<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "-1=-72A<BR>\n" );
document.write( "A=1/72<BR>\n" );
document.write( "6B=-24A-2=-1/3-6/3=-7/3<BR>\n" );
document.write( "B=-7/18<BR>\n" );
document.write( "C=B-A+1<BR>\n" );
document.write( "C=-7/18-1/72+1<BR>\n" );
document.write( "C=-28/72-1/72+72/72<BR>\n" );
document.write( "C=43/72<BR>\n" );
document.write( "A=1/72, B=-7/18, C=43/72<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "121A+11B+C<BR>\n" );
document.write( "=121/72-77/18+43/72<BR>\n" );
document.write( "=121/72-308/72+43/72<BR>\n" );
document.write( "=-144/2<BR>\n" );
document.write( "=-2<BR>\n" );
document.write( "Equation of parabola:<BR>\n" );
document.write( "y=x^2/72-7x/18+43/72<BR>\n" );
document.write( "note: this parabola has a vertical axis of symmetry; whereas, problem stated parabola has a horizontal axis of symmetry<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );