document.write( "Question 870140: Graph one period of the graph, and state the Amplitude, period, and phase shift(if any). Problem y=3cos(x-pi/2)
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Algebra.Com's Answer #524690 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Graph one period of the graph, and state the Amplitude, period, and phase shift(if any). Problem y=3cos(x-pi/2) \n" ); document.write( "*** \n" ); document.write( "Form of equation for cos function: Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B \n" ); document.write( "For given cos function: y=3cos(x-pi/2) \n" ); document.write( "Amplitude=3 \n" ); document.write( "B=1 \n" ); document.write( "Period=2π/B=2π \n" ); document.write( "1/4 Period=π/2 \n" ); document.write( "C=π/2 \n" ); document.write( "Phase shift=C/B=(π/2)/1=π/2(shift to the right) \n" ); document.write( ".. \n" ); document.write( "coordinates of basic cos function for one period: \n" ); document.write( "(0, 1), (π/2, 0), (π, -1), (3π/2,0), (2π, 1) \n" ); document.write( ".. \n" ); document.write( "coordinates of given cos function for one period: (with amplitude=3, phase shift π/2 to the right) \n" ); document.write( "(0,0), (π/2, 3), (π, 0), (3π/2,-3), (2π, 0) \n" ); document.write( "See graph below:\r \n" ); document.write( "\n" ); document.write( " |