document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83899>Question 83899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find a quadratic function to model the values in the table? Predict the value of y for x=6.<BR>\n" );
document.write( "x    y<BR>\n" );
document.write( "-1   -2<BR>\n" );
document.write( "0    4<BR>\n" );
document.write( "3    -26\r<BR>\n" );
document.write( "\n" );
document.write( "Could you also help me with finding a quadratic model for th set of values.<BR>\n" );
document.write( "(-2,19)(0,3)(4,19) Thanks alot. Forgot all these things that we did at the beginning of the year. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60368 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=60368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (-2,19)(0,3)(4,19) with vertex (1,f(1))<BR>\n" );
document.write( "f(x) = a(x - h)^2 + k is the standard form<BR>\n" );
document.write( "f(x) = a(x - 1)^2 + f(1)<BR>\n" );
document.write( "3 = a(-1)^2 + f(1) PLUG<BR>\n" );
document.write( "3 - f(1) = a<BR>\n" );
document.write( "~ Equation ~<BR>\n" );
document.write( "f(x) = (3 - f(1))(x - 1)^2 + f(1)<BR>\n" );
document.write( "19 = (3 - f(1))(-3)^2 + f(1) PLUG<BR>\n" );
document.write( "19 = 27 - 9f(1) + f(1)<BR>\n" );
document.write( "-8 = -8f(1)<BR>\n" );
document.write( "1 = f(1)<BR>\n" );
document.write( "f(x) = 2(x - 1)^2 + 1<BR>\n" );
document.write( "~~~ x = 6 ... y or f(x) = ?<BR>\n" );
document.write( "f(6) = 2(5)^2 + 1 = 50 + 1 = 51 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );