document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638057>Question 638057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph y= 4 log base 2 (x+4)+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402009 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=402009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph y= 4 log base 2 (x+4)+2<BR>\n" );
document.write( "I don't have the means or know how to graph it for you but I can show you one way to do it.<BR>\n" );
document.write( "All log curves regardless of base have the y-axis as an asymptote and cross the x-axis at 1. logb(1)=0<BR>\n" );
document.write( "The basic logx curve starts from (0,-&#8734;), crosses the x-axis at 1 and gradually increases to &#8734;.<BR>\n" );
document.write( "For given equation:y= 4 log base 2 (x+4)+2<BR>\n" );
document.write( "(x+4) moves the asymptote 4 units left, that is, you have an asymptote at y=-4 and x-intercept at -3.<BR>\n" );
document.write( "The multiplier 4 stretches the curve making it more positive for x>1 and more negative for x<1. No change to position of asymptote or x-intercept. Finally, the +2 in the equation bumps the entire curve 2 units up. The x-intercept point is moved to (-3,2), no change to position of asymptote.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "note: If you have a graphing calculator it would greatly help you follow steps I have described. </SPAN>\n" );
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