document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117037>Question 1117037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is an extra credit question for a topic very briefly touched on in class. <BR>\n" );
document.write( "A step by step explanation would be extremely helpful due to not having a full lesson in this. (but know that would be time consuming!)\r<BR>\n" );
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document.write( "Graph at least two full periods of the following function. Label the 5 key points on one period. Give the amplitude and period of the function.. y=-2sin(2x)\r<BR>\n" );
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document.write( "there is an <BR>\n" );
document.write( "x y empty chart for 5 points. (I assume 0, pi/2, pi, 3pi/2, and 2pi)<BR>\n" );
document.write( "also a black graph to draw the function\r<BR>\n" );
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document.write( "Any help would be greatly appreciated, but it is extra credit- so not necessary!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731996 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=731996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph at least two full periods of the following function. Label the 5 key points on one period. Give the amplitude and period of the function.. y=-2sin(2x) <BR>\n" );
document.write( "there is an <BR>\n" );
document.write( "x y empty chart for 5 points. (I assume 0, pi/2, pi, 3pi/2, and 2pi)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-0.5%2C6.5%2C-4%2C4%2C-2sin%282x%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-0.5%2C6.5%2C-4%2C4%2C-2sin%282x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f(x) = -2sin(2x)<BR>\n" );
document.write( "f(0) = -2*sin(0) = 0<BR>\n" );
document.write( "f(pi/2) = -2sin(2(pi/2)) = -2sin(pi) = 0<BR>\n" );
document.write( "f(pi) = -2sin(2*pi) = 0<BR>\n" );
document.write( "f(3pi/2) = -2sin(2(3pi/2) = -2sin(3pi) = 0<BR>\n" );
document.write( "f(2pi) = -2sin(4pi) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "amplitude = |-2| = 2<BR>\n" );
document.write( "period = (2pi)/2 = pi radians<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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