document.write( "Question 753625: Write a sine function with the given amplitude, period, phase shift, and vertical shift.\r
\n" ); document.write( "\n" ); document.write( "amplitude: 2
\n" ); document.write( "period: \"pi\"
\n" ); document.write( "phase shift: \"%28-1%2F8%29pi\"
\n" ); document.write( "vertical shift: 3
\n" ); document.write( "

Algebra.Com's Answer #458498 by lwsshak3(11628)\"\" \"About 
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Write a sine function with the given amplitude, period, phase shift, and vertical shift.
\n" ); document.write( "amplitude: 2
\n" ); document.write( "period: \"pi\"
\n" ); document.write( "phase shift: \"%28-1%2F8%29pi\"
\n" ); document.write( "vertical shift: 3
\n" ); document.write( "***
\n" ); document.write( "Basic equation for sine function: y=Asin(Bx-C), A=amplitude, period=2π/B, phase shift(C/B)
\n" ); document.write( "For given problem:
\n" ); document.write( "A=2
\n" ); document.write( "period=π=2π/B
\n" ); document.write( "B=2
\n" ); document.write( "phase shift=C/B
\n" ); document.write( "π/8=C/2
\n" ); document.write( "C=π/4
\n" ); document.write( "Equation:
\n" ); document.write( "y=2sin(2x+π/4)+3
\n" ); document.write( "
\n" );