document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831559>Question 831559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> parabola equation through (1,-2) (2,-4) (3,-4)in y=ax^2+bx+c<BR>\n" );
document.write( "(1,1) (-1,-3) (-3,1)<BR>\n" );
document.write( "(-2,9) (-4,5) (1,0)<BR>\n" );
document.write( "(-1,17) (1,17) (2,8)<BR>\n" );
document.write( "determine if quadratic model exsist if so then write a model <BR>\n" );
document.write( "f(-2)=16 f(0)=0 f(1)=4                                                             </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501601 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "I will do the first one, you do the others using the same method:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = ax^2 + bx + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1,-2) (2,-4) (3,-4)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(1,-2):<BR>\n" );
document.write( "-2 = a + b + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(2,-4):<BR>\n" );
document.write( "-4 = 4a + 2b + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(3,-4):<BR>\n" );
document.write( "-4 = 9a + 3b + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "linear system:<BR>\n" );
document.write( "-2 = a + b + c<BR>\n" );
document.write( "-4 = 4a + 2b + c<BR>\n" );
document.write( "-4 = 9a + 3b + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = a <BR>\n" );
document.write( "y = b<BR>\n" );
document.write( "z = c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-2 = x + y + z<BR>\n" );
document.write( "-4 = 4x + 2y + z<BR>\n" );
document.write( "-4 = 9x + 3y + z<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y + z = -2<BR>\n" );
document.write( "4x + 2y + z = -4<BR>\n" );
document.write( "9x + 3y + z = -4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = a  = 1<BR>\n" );
document.write( "y = b = -5<BR>\n" );
document.write( "z = c = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = ax^2 + bx + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "y = x^2 - 5x + 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );