document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=381315>Question 381315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the exact question asked:\r<BR>\n" );
document.write( "\n" );
document.write( "Give an equation of the parabola which opens either up or down given the three points of: (0,11), (1,21), and (-2,3) on the parabola.\r<BR>\n" );
document.write( "\n" );
document.write( "I just don't know how to do this! Thanks so much and God bless you.\r<BR>\n" );
document.write( "\n" );
document.write( "-Zach </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270449 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=270449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Give an equation of the parabola which opens either up or down given the three points of: (0,11), (1,21), and (-2,3) on the parabola.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Form: ax^2 + bx + c = y<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute each point into the Form and solve for a,b,c.<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "0 + 0 + c = 11<BR>\n" );
document.write( "a + b + c = 21<BR>\n" );
document.write( "4a-2b + c = 3<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Use any method you know to get:<BR>\n" );
document.write( "a = 2<BR>\n" );
document.write( "b = 8<BR>\n" );
document.write( "c = 11<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = 2x^2 + 8x + 11<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" );