document.write( "Question 931952: What is the amplitude, period and phase shift of the following function: \r
\n" ); document.write( "\n" ); document.write( "y=1+COS (3x + pi/2) \r
\n" ); document.write( "\n" ); document.write( "How would I graph one complete period? \n" ); document.write( "
Algebra.Com's Answer #566067 by lwsshak3(11628)\"\" \"About 
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What is the amplitude, period and phase shift of the following function:
\n" ); document.write( "y=1+COS (3x + pi/2)
\n" ); document.write( "How would I graph one complete period?
\n" ); document.write( "***
\n" ); document.write( "Equation for cos function: y=Acos(Bx-C), A=amplitude, period=2π/B, Phase shift=C/B.
\n" ); document.write( "For given cos function:
\n" ); document.write( "A=1
\n" ); document.write( "B=3
\n" ); document.write( "Period=2π/B=2π/3
\n" ); document.write( "1/4 period=(2π/3)/4=2π/12=π/6
\n" ); document.write( "C=π/2
\n" ); document.write( "Phase shift:C/B=(π/2)/3=π/6 (to the left)
\n" ); document.write( "..
\n" ); document.write( "Determine coordinates:
\n" ); document.write( "set up inequality of cos function for one period
\n" ); document.write( "0 ≤ (3x+π/2) ≤ 2π/3
\n" ); document.write( "subtract π/2 from each term
\n" ); document.write( "-π/2 ≤ 3x ≤ π/6=
\n" ); document.write( "divide each term by 3
\n" ); document.write( "-π/6 ≤ x ≤ π/2
\n" ); document.write( "..
\n" ); document.write( "coordinates of graph:
\n" ); document.write( "(-π/6,2),(0,1),(π/6,0),(2π/6,1),(3π/6,2)
\n" ); document.write( "or
\n" ); document.write( "(-π/6,2),(0,1),(π/6,0),(π/3,1),(π/2,2)
\n" ); document.write( " \n" ); document.write( "
\n" );