document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083724>Question 1083724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = ax^2+bx+c.<BR>\n" );
document.write( "If (0, 1) and (1, 1) and (-1, 3) lie on the graph of the function, then, what are the values of a, b and c? Show the three calculations and draw the graphic of the function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697753 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=697753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = ax^2+bx+c.<BR>\n" );
document.write( "If (0, 1) and (1, 1) and (-1, 3) lie on the graph of the function, then, what are the values of a, b and c? Show the three calculations and draw the graphic of the function.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "f(0) = 1 --> c=1<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "f(1) = 1 --> a + b + 1 = 1<BR>\n" );
document.write( "a + b = 0<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "f(-1) = 3 --> a - b + 1 = 3<BR>\n" );
document.write( "a - b = 2<BR>\n" );
document.write( "a + b = 0<BR>\n" );
document.write( "----------- Add<BR>\n" );
document.write( "2a = 2<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "b = -1<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "f(x) = x^2 - x + 1<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Or do it like this:<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "|y   x^2   x   1|\r\n" );
document.write( "|0    1    1   1|\r\n" );
document.write( "|1    1    1   1| = 0\r\n" );
document.write( "|3    1   -1   1|\r\n" );
document.write( "\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "  <BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "dl the FREE graph software at\r<BR>\n" );
document.write( "\n" );
document.write( "www.padowan.dk\r<BR>\n" );
document.write( "\n" );
document.write( "to graph it. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );