document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057418>Question 1057418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the parabola that passes through the points(3,-5), (2,0), and (4,0). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672491 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=672491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the parabola that passes through the points<BR>\n" );
document.write( "(3,-5), (2,0), and (4,0).<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Form:: ax^2 + bx + c = y<BR>\n" );
document.write( "Use (3,-5) to get: 9a + 3b + c = -5<BR>\n" );
document.write( "Use (2,0) to get:: 4a + 2b + c = 0<BR>\n" );
document.write( "Use (4,0) to get::16a + 4b + c = 0<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Use any method you know to solve the system to get:<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "b = -30<BR>\n" );
document.write( "c =  40<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:: y = 5x^2 - 30x + 40<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );