document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766973>Question 766973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=(x+4)^2+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467353 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph:<BR>\n" );
document.write( "y=(x+4)^2+3<BR>\n" );
document.write( "by using techniques of \"transformations\".<BR>\n" );
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document.write( "Starting point:<BR>\n" );
document.write( "y = x^2<BR>\n" );
document.write( "This is simply a parabola that opens upwards and the vertex is at the origin.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = (x+4)^2<BR>\n" );
document.write( "The above \"horizontally shifts\" the \"starting point\" to the LEFT 4 units.  That is, the vertex is now at (-4,0).<BR>\n" );
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document.write( "Finally,<BR>\n" );
document.write( "y = (x+4)^2 + 3<BR>\n" );
document.write( "Shifts it vertically UP three units.  That is, the vertex is now at (-4,3). </SPAN>\n" );
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