document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459333>Question 459333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> #5 on homework.\r<BR>\n" );
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document.write( "sketch graph of function f(x)=log2(x+1) by transforming y=log2x\r<BR>\n" );
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document.write( "Find domain and vertical asympote </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316076 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=316076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sketch graph of function f(x)=log2(x+1) by transforming y=log2x<BR>\n" );
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document.write( "I don't have the means to draw a graph for you, but I can show you how to do it.<BR>\n" );
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document.write( "Start with the basic log function: y=logx<BR>\n" );
document.write( "The first point on the graph to note is (1,0), that is, when x=1, y=0.<BR>\n" );
document.write( "When x<1, approaching asymptote, y-axis or x=0, y becomes increasingly negative.<BR>\n" );
document.write( "When x>1, y becomes increasingly positive but at a slower rate.<BR>\n" );
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document.write( "y=log2x<BR>\n" );
document.write( "This moves the (1,0) point to the (1/2,0) point.<BR>\n" );
document.write( "The asymptote, x=0, does not change, but the point at which y goes from negative to positive is at x=1/2 instead at x=1 as in the basic function. Both curves have similar shapes with the log2x curve sitting above the logx curve<BR>\n" );
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document.write( "log2(x+1)<BR>\n" );
document.write( "This just moves previous curve one unit to the left, placing the asymptote at x=-1 instead of x=0, and moving the (1/2,0) point to the (-1/2,0) point. Curve also sits above previous curve.<BR>\n" );
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document.write( "Hope this helps you understand the log curves. </SPAN>\n" );
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