document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286268>Question 286268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to write a function for the following data. <BR>\n" );
document.write( "(0,2)(1,0)(2,0)(3,2)(4,6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207633 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=207633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A good way to start is a scatter plot to see how the data points are distributed.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28circle%280%2C2%2C.15%29%29%2C%0D%0Ablue%28circle%281%2C0%2C.15%29%29%2C%0D%0Ablue%28circle%282%2C0%2C.15%29%29%2C%0D%0Ablue%28circle%283%2C2%2C.15%29%29%2C%0D%0Ablue%28circle%284%2C6%2C.15%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "That looks like a parabola, so you're trying to fit a set of points to a quadratic equation.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = x^2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "But we can see the graph needs to be shifted to the right by about 3/2 and it needs to drop by about -1/3.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So it looks like:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = (x-3/2)^2 - 1/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Graphing we find.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28circle%280%2C2%2C.15%29%29%2C%0D%0Ablue%28circle%281%2C0%2C.15%29%29%2C%0D%0Ablue%28circle%282%2C0%2C.15%29%29%2C%0D%0Ablue%28circle%283%2C2%2C.15%29%29%2C%0D%0Ablue%28circle%284%2C6%2C.15%29%29%2C%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%28x-3%2F2%29%5E2+-1%2F3%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Looks like a pretty good fit to me...<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );