document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611857>Question 611857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello <BR>\n" );
document.write( "Could you please help me with this. And this is going to be word for word, ok <BR>\n" );
document.write( "In this problem you will determine the equation of a sin function.<BR>\n" );
document.write( "And the following is all of the info you will have on the function.<BR>\n" );
document.write( "Amplitude is 3<BR>\n" );
document.write( "period is 6. (note the period is not 6&#960; )<BR>\n" );
document.write( "phase shift is 2 (again no mention of &#960;)<BR>\n" );
document.write( " and graph 2 periods of the function.<BR>\n" );
document.write( "Thank for your efforts </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385292 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=385292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amplitude is 3<BR>\n" );
document.write( "period is 6. (note the period is not 6&#960; )<BR>\n" );
document.write( "phase shift is 2 (again no mention of &#960;)<BR>\n" );
document.write( "and graph 2 periods of the function.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Equation for sin function: y=Asin(Bx-C), A=amplitude, Period=2&#960;/B, C/B=phase shift<BR>\n" );
document.write( "For given sin function:<BR>\n" );
document.write( "Amplitude=3<BR>\n" );
document.write( "Period=6=2&#960;/B<BR>\n" );
document.write( "1/4 period=6/4=3/2=1.5<BR>\n" );
document.write( "B=2&#960;/6=&#960;/3<BR>\n" );
document.write( "Phase shift=2=C/B=C/(&#960;/3) (2 units to the right)<BR>\n" );
document.write( "C=2&#960;/3<BR>\n" );
document.write( "Equation of given sin function: y=3sin(&#960;x/3-2&#960;/3)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Graphing function for two periods:<BR>\n" );
document.write( "I don't have the means to draw a graph, but  I will develop the coordinates with which you can draw the graph yourself.<BR>\n" );
document.write( "On an (x,y) coordinate system with the x-axis scaled in radians:<BR>\n" );
document.write( "Coordinates of basic sin function with amplitude 1 and no phase shift as follows:<BR>\n" );
document.write( "y=sin(&#960;x/3)<BR>\n" );
document.write( "(0,0), (1.5,1), (3,0), (4.5,-1), (6,0), (7.5,1), (9,0), (10.5,-1), (12,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "With amplitude=3<BR>\n" );
document.write( "y=3sin(&#960;x/3)<BR>\n" );
document.write( "(0,0), (1.5,3), (3,0), (4.5,-3), (6,0), (7.5,3), (9,0), (10.5,-3), (12,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "With Phase Shift 2 units to the right (final configuration)<BR>\n" );
document.write( "y=3sin(&#960;x/3-2&#960;/3)<BR>\n" );
document.write( "(2,0), (3.5,3), (5,0), (6.5,-3), (8,0), (9.5,3), (11,0), (12.5,-3), (14,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "One more point to consider:<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=3sin(-2&#960;/3)&#8776;2.6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The final coordinates of the graph:<BR>\n" );
document.write( "(0,2.6), (2,0), (3.5,3), (5,0), (6.5,-3), (8,0), (9.5,3), (11,0), (12.5,-3), (14,0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );