document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748184>Question 748184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the period, range, and amplitude of the cosine function y= -3 cos 4x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455372 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the general form of the equation to determine parameters\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Af%28x%29=a%2Acos%28omega%2Ax%2Btheta%29%2Bf%5B0%5D%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Af%28x%29=a%2Acos%28omega%2Ax%2Btheta%29%2Bf%5B0%5D%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Af%28x%29=-3%2Acos%284%2Ax%2B0%29%2B0%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Af%28x%29=-3%2Acos%284%2Ax%2B0%29%2B0%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This comparison tells us the following\r<BR>\n" );
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document.write( "Period:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Aomega=%282+%2Api%29%2FT%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Aomega=%282+%2Api%29%2FT%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0AT=%282+pi%29%2Fomega=%282%2A+pi%29%2F4=pi%2F2%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0AT=%282+pi%29%2Fomega=%282%2A+pi%29%2F4=pi%2F2%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Range: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Af%5B0%5D-abs%28a%29%3C=+x+%3C=f%5B0%5D%2Babs%28a%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Af%5B0%5D-abs%28a%29%3C=+x+%3C=f%5B0%5D%2Babs%28a%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A-3%3C=x%3C=3%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A-3%3C=x%3C=3%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Amplitude:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Aa=abs%28-3%29=3%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Aa=abs%28-3%29=3%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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