document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031199>Question 1031199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a particular quadratic function f(x)=ax^2+bx+c<BR>\n" );
document.write( "f(-3)=-13 and f(2)=7. If a=-3, find b and c.<BR>\n" );
document.write( "I know the points are (-3,-13) and (2,7).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645950 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a particular quadratic function f(x)=ax^2+bx+c<BR>\n" );
document.write( "f(-3)=-13 and f(2)=7. If a=-3, find b and c.<BR>\n" );
document.write( "I know the points are (-3,-13) and (2,7).<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "f(x) = -3x^2 + bx + c<BR>\n" );
document.write( "f(-3) = -3(-3)^2 + b(-3) + c = -13<BR>\n" );
document.write( "-3b + c = 14  Eqn 1<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "f(2) = -3*2^2 + b*2 + c = 7<BR>\n" );
document.write( "2b + c = 19  Eqn 2<BR>\n" );
document.write( "-3b + c = 14  Eqn 1<BR>\n" );
document.write( "--------------------------- Subtract<BR>\n" );
document.write( "5b = 5<BR>\n" );
document.write( "b = 1 ****************<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2b + c = 19  Eqn 2<BR>\n" );
document.write( "c = 17 ***********<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );