document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691536>Question 691536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the amplitude, period and phase shift of the function, and graph one complete period.\r<BR>\n" );
document.write( "\n" );
document.write( "Y= 1 + COS(3X+pi/2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426761 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The period can start at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28+3x+%2B+pi%2F2+%29+=+1+ ALIGN=MIDDLE  ALT=\"+cos%28+3x+%2B+pi%2F2+%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which would be at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+1+%2B+0+ ALIGN=MIDDLE  ALT=\"+y+=+1+%2B+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28+3x+%2B+pi%2F2+%29+=+1+ ALIGN=MIDDLE  ALT=\"+cos%28+3x+%2B+pi%2F2+%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+pi%2F2+=+0+ ALIGN=MIDDLE  ALT=\"+3x+%2B+pi%2F2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+-pi%2F2+ ALIGN=MIDDLE  ALT=\"+3x+=+-pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-pi%2F6+ ALIGN=MIDDLE  ALT=\"+x+=+-pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "The period ends at  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28+3x+%2B+pi%2F2+%29+=+1+ ALIGN=MIDDLE  ALT=\"+cos%28+3x+%2B+pi%2F2+%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > again<BR>\n" );
document.write( "when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+pi%2F2+=+2%2Api+ ALIGN=MIDDLE  ALT=\"+3x+%2B+pi%2F2+=+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (1 period)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+2%2Api+-+pi%2F2+ ALIGN=MIDDLE  ALT=\"+3x+=+2%2Api+-+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+%283%2Api%29%2F2+ ALIGN=MIDDLE  ALT=\"+3x+=+%283%2Api%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Here's a plot of the function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-pi%2F6%2C+pi%2F2%2C+-2.5%2C+2.5%2C+1+%2B+cos%28+3x+%2B+pi%2F2+%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );