document.write( "Question 464893: I need to determine an amplitude, period and shift phase for each function. and I half to graph one period of the function. y=sin(x - PI/2) \n" ); document.write( "
Algebra.Com's Answer #318721 by lwsshak3(11628)\"\" \"About 
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I need to determine an amplitude, period and shift phase for each function. and I half to graph one period of the function. y=sin(x - PI/2).
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\n" ); document.write( "Standard form for the sine function: y=Asin(Bx-C), with A=amplitude, Period=2π/B, and Phase-shift=C/B.
\n" ); document.write( "For given sine function, y=sin(x - PI/2)
\n" ); document.write( "Amplitude=1
\n" ); document.write( "B=1
\n" ); document.write( "Period=2π/1=2π
\n" ); document.write( "1/4 Period=2π/4=π/2
\n" ); document.write( "Phase-shift=C/B=(π/2)/1=π/2 (to the right)
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\n" ); document.write( "Graphing:
\n" ); document.write( "On the x-axis, starting from 0, make tick marks at π/2, π, 3π/2, 2π, 5π/2 Note the marks are (1/4) period apart. At these tick marks, y=0, 1, 0, -1, 0 respectively. You now have the following (x,y) coordinates to plot the given sin function: (π/2,0), (π,1), (3π/2,0), (2π,-1), (5π/2,0) (This covers one period of the shifting sine curve.)
\n" ); document.write( "To complete the graph, extend the curve back to the origin where y=-1 (y-intercept)\r
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