document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64977>Question 64977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this problem:<BR>\n" );
document.write( "Use the graph of g(x) = |x| to sketch the graph of y = 1/3 |x-1| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45469 by </B><A HREF=/tutors/aboutme.mpl?userid=cristiana><B>cristiana(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cristiana><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=45469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the graph of g(x) = |x| to sketch the graph of y = 1/3 |x-1|. \r<BR>\n" );
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document.write( "We can translate, stretch, shrink and reflect an absolute value graph. The graph for |x| has a \"v\" shape with its vertex at (0,0); the graph opens upwards since the slope is 1 (g(x) = |x|=1|x|). <BR>\n" );
document.write( "Let's see how we can get to the graph for y = 1/3 |x-1|<BR>\n" );
document.write( "1/3 represents the shrink factor; since it's < 0 the graph for y will be shrinked along Y-axis; that means that for any value on X-axis, its coresponding Y-coordinate will be 1/3 of that value. <BR>\n" );
document.write( "|x-1| tell us that the graph for y will be shifted/translated to the right along x axis. Now the \"new\" origin of the graph is (1,0). \r<BR>\n" );
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document.write( "Hope this helps. <BR>\n" );
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