document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21873>Question 21873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HOw is the graph of y=x^2-4 obtained from the graph of y=x^2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10888 by </B><A HREF=/tutors/aboutme.mpl?userid=MORUPHOSUOLALE><B>MORUPHOSUOLALE(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MORUPHOSUOLALE><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   \r<BR>\n" );
document.write( "\n" );
document.write( "            VISUALISING AND DTERMINE THE BEHAVIOR OF A  PARABOLA.\r<BR>\n" );
document.write( "\n" );
document.write( " AS a matter of fact the graph of X^2 was shifted downward(vertically) by 4 units.So the new graph is obtained by shifting the first graph downwards by 4 units.<BR>\n" );
document.write( "  This is an important area you need to master in parabola.<BR>\n" );
document.write( "  We have a lot of constant rule that had been discovered by the greatest scholar of their time and which are still in use today.<BR>\n" );
document.write( "    One of them is rules of visualising and determining the movement of parabola.<BR>\n" );
document.write( " <BR>\n" );
document.write( "          THE RULE ARE-<BR>\n" );
document.write( "  GIVEN ,f(x)<BR>\n" );
document.write( "   If f(x) becomes f(x)+k<BR>\n" );
document.write( " if k is positive= the graph of f(x)  had shifted up(vertically)by k unit.<BR>\n" );
document.write( " if k is negative= the graph had shifted down(vertically) by k units.<BR>\n" );
document.write( "  As in your problem,the graph had shifted downward by 4 units.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks.<BR>\n" );
document.write( "Moruph Osuolale<BR>\n" );
document.write( "mosuolal@uncc.edu </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );