document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103573>Question 1103573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following graph described the function:\r<BR>\n" );
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document.write( "y = -3cot(&#960;-3x)+1\r<BR>\n" );
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document.write( "https://www.dropbox.com/s/zbu7h5bdtedpzq7/Screen%20Shot%202017-12-02%20at%2011.06.53%20PM.png?dl=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718264 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "With the \"+1\" at the end of the function, the value in the middle of each period has to be +1; that means the correct graph is either A or C.<br><BR>\n" );
document.write( "But the period is pi/3.  The beginnings of the periods for graphs A and C differ by pi, which is an integer multiple of the period, pi/3.<br><BR>\n" );
document.write( "That means BOTH of the graphs A and C are correct; they just show the graph in different periods.<br><br><BR>\n" );
document.write( "Addendum -- for the reader who replied that they can't both be right....<br><BR>\n" );
document.write( "In fact graphs A and C ARE both correct for the given function; if only one graph is to be the correct answer for the problem, then the problem is flawed.<br><BR>\n" );
document.write( "Graph A shows the three points (5pi/12,4), (pi/2,1), and (7pi/12,-2).<BR>\n" );
document.write( "Graph C shows the three points (-7pi/12,4), (-pi/2,1), and (-5pi/12,-2).<br><BR>\n" );
document.write( "All 6 of those points are points on the graph of the given function. </SPAN>\n" );
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