document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922475>Question 922475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how I would go about figuring out the graph to:\r<BR>\n" );
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document.write( "-6cos(4x-&#960;/2)<BR>\n" );
document.write( "amp = 6<BR>\n" );
document.write( "period = 1/2<BR>\n" );
document.write( "phase shift = &#960;/8\r<BR>\n" );
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document.write( "If I have the above correct from that point what would I do? I am confused because I don't know what to do with the period? I've worked with radians but what does 1/2 period mean? please explain<BR>\n" );
document.write( "how this is solved.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559591 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=559591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please explain how I would go about figuring out the graph to:<BR>\n" );
document.write( "-6cos(4x-&#960;/2)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Form of equation for cos function:<BR>\n" );
document.write( "y=Acos(Bx-C), A=amplitude, period=2&#960;/B, phase shift=C/B<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given function:y=-6cos(4x-&#960;/2)<BR>\n" );
document.write( "A=6<BR>\n" );
document.write( "B=4<BR>\n" );
document.write( "Period=2&#960;/4=&#960;/2<BR>\n" );
document.write( "1/4 period=&#960;/8<BR>\n" );
document.write( "C=&#960;/2<BR>\n" );
document.write( "Phase shift=C/B=(&#960;/2)/4=&#960;/8 (shift to the right)<BR>\n" );
document.write( "The negative sign means the basic curve is reflected about the x-axis.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Graphing the function for one period:<BR>\n" );
document.write( "Start with basic cos curve with amplitude 1 and no phase shift.<BR>\n" );
document.write( "Mark x-axis at 1/4 period intervals(&#960;/8)in radians.<BR>\n" );
document.write( "(0,1),(&#960;/8,0),(2&#960;/8,-1),(3&#960;/8,0),(4&#960;/8,1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "multiply y-coordinates by -6(amplitude)<BR>\n" );
document.write( "(0,-6),(&#960;/8,0),(2&#960;/8,6),(3&#960;/8,0),(4&#960;/8,-6)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "shift x-coordinates &#960;/8 to the right.<BR>\n" );
document.write( "(&#960;/8,-6),(2&#960;/8,0),(3&#960;/8,6),(4&#960;/8,0),(5&#960;/8,-6)(Final configuration)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=-6cos(4x-&#960;/2)<BR>\n" );
document.write( "y=-6cos(-&#960;/2)=-6*0=0\r<BR>\n" );
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document.write( " </SPAN>\n" );
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