document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=591178>Question 591178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the graph of the equation, and the period and phase shift. y=sin(1/4x+pi/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375522 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=375522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the graph of the equation, and the period and phase shift. <BR>\n" );
document.write( "y=sin(1/4x+pi/3)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation used for graphing sin functions: y=Asin(Bx-C), A=amplitude, Period=2&#960;/B, Phase shift=C/B.<BR>\n" );
document.write( "For given equation: y=sin(1/4x+pi/3):<BR>\n" );
document.write( "A=1<BR>\n" );
document.write( "B=1/4<BR>\n" );
document.write( "Period: 2&#960;/B=2&#960;/(1/4)=8&#960;<BR>\n" );
document.write( "1/4 period=8/4=2&#960;<BR>\n" );
document.write( "phase shift: C/B=(&#960;/3)/(1/4)=4&#960;/3 (shift to the left)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Graph for one period:<BR>\n" );
document.write( "scale of x-axis in radians<BR>\n" );
document.write( "With no phase shift, (x,y) coordinates for the given sin function would be as follows:<BR>\n" );
document.write( "(0,0), (2&#960;,1), (4&#960;,0), (6&#960;,-1), (8&#960;,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A phase shift of 4&#960;/3 radians would shift x-coordinates to the left as follows:<BR>\n" );
document.write( "(-4&#960;/3,0), (2&#960;/3,1), (8&#960;/3,0), (14&#960;/3,-1), (20&#960;/3,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=sin(&#960;/3)<BR>\n" );
document.write( "y=&#8730;3/2\r<BR>\n" );
document.write( "\n" );
document.write( "You now have all the points you need including the y-intercept to plot given sin function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );