document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140710>Question 1140710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sinusoidal function has an amplitude of 6 units, a period of 45°  and a minimum at (0, 3).  Determine an equation of the function.<BR>\n" );
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document.write( "(1) minimum at (0,3) means either a negative cosine function with no horizontal shift or a shifted sine function; since the shift makes the equation more complicated, we will use a negative cosine function.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-a%2Acos%28bx%29%2Bd ALIGN=MIDDLE  ALT=\"f%28x%29+=+-a%2Acos%28bx%29%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) An amplitude of 6 and a minimum at (0,3) means the center line is 3+6 = 9.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-6%2Acos%28bx%29%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-6%2Acos%28bx%29%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) The period is 45 degrees (pi/4 radians), which is 1/8 of the period of the basic cosine function:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-6%2Acos%288x%29%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-6%2Acos%288x%29%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A graph: center line 9; minimum 3 and maximum 15; period pi/4 = 0.785 approximately....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%281200%2C200%2C-pi%2F2%2C3pi%2F2%2C-3%2C21%2C-6%2Acos%288x%29%2B9%29 ALIGN=MIDDLE  ALT=\"graph%281200%2C200%2C-pi%2F2%2C3pi%2F2%2C-3%2C21%2C-6%2Acos%288x%29%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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