document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535087>Question 535087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic function in standard form for each set of points.<BR>\n" );
document.write( "(0, 3), (1, –4), (2, –9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351768 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard form: y = ax^2 + bx + c<BR>\n" );
document.write( "Use the given points to solve for a, b c<BR>\n" );
document.write( "The point (0,3) gives c = 3 since the a and b terms are zero.<BR>\n" );
document.write( "Substituting the other two pairs of points gives<BR>\n" );
document.write( "-4 = a + b + 3<BR>\n" );
document.write( "-9 = 4a + 2b + 3<BR>\n" );
document.write( "Solving these two equations gives a = 1, b = -8<BR>\n" );
document.write( "So the function is <BR>\n" );
document.write( "y = f(x) = x^2 - 8x + 3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );