document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517613>Question 517613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do u graph y=3cos(2(x+pi/4))+2?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344858 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=344858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do u graph y=3cos(2(x+pi/4))+2??<BR>\n" );
document.write( "**<BR>\n" );
document.write( "y=3cos(2(x+pi/4))+2<BR>\n" );
document.write( "Equation for graphing sin function: y=Acos(Bx-C), with A=amplitude, Period=2&#960;/B, <BR>\n" );
document.write( "Phase shift=C/B.<BR>\n" );
document.write( "For given sin function: y=3cos(2(x+pi/4))+2=3cos(2x+pi/2))+2<BR>\n" );
document.write( "Amplitude=3<BR>\n" );
document.write( "B=2<BR>\n" );
document.write( "Period=2&#960;/B=2&#960;/2=&#960;<BR>\n" );
document.write( "1/4 period=&#960;/4<BR>\n" );
document.write( "Phase shift=C/B=(&#960;/2)/2=&#960;/4 (shift to the left)<BR>\n" );
document.write( "Curve is shifted vertically 2 units<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=3cos(2x+pi/2))+2=3cos(&#960;/2)+2=0+2=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Graphing for one period:<BR>\n" );
document.write( "Without any phase shift or vertical shift, you can plot the given cos curve (with amplitude=3) on an (x,y) coordinate system with the following coordinates:<BR>\n" );
document.write( "(0,3), (&#960;/4,0), (&#960;/2,-3), (3&#960;/4,0), (&#960;,3)<BR>\n" );
document.write( "With a phase shift of &#960;/4 to the left, the x-coordinates change to read as follows:<BR>\n" );
document.write( "(-&#960;/4,3), (0,0), (&#960;/4,-3), (&#960;/2,0), (3&#960;/4,3)<BR>\n" );
document.write( "Adding a vertical shift of 2 units cause the y-coordinates to change, resulting in the final configuration of the graph as follows:<BR>\n" );
document.write( "(-&#960;/4,5), (0,2), (&#960;/4,-1), (&#960;/2,2), (3&#960;/4,5) </SPAN>\n" );
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