document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029389>Question 1029389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help, Please!  I am supposed to write a cosine function, f(x), such that on one period a local maximum is at (-pi/3, 1) followed by a local minimum at (2pi/3, -7).  Thanks for any help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644437 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write a cosine function, f(x), such that on one period a local maximum is at (-pi/3, 1) followed by a local minimum at (2pi/3, -7).<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Amplitude = |1 - (-7)|/2 = 4<BR>\n" );
document.write( "Center of 1 & -7 = -3 --> vertical offset of -3<BR>\n" );
document.write( "From -pi/3 to 2pi/3 is 1/2 the period = pi --> period = 2pi<BR>\n" );
document.write( "Offset = shift from the max = -pi/3<BR>\n" );
document.write( "============<BR>\n" );
document.write( "--> f(x) = 4cos(x + pi/3) -3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );