document.write( "Question 212798: write an equation of the sine function with amplitude 3,period 3pi/2, and phase shift pi/4\r
\n" ); document.write( "\n" ); document.write( "a)y=3sin(3x/2 - pi/4)
\n" ); document.write( "b)y=-3sin(4x/3 - pi/4)
\n" ); document.write( "c)y=-3sin(3x/2 - 3pi/8)
\n" ); document.write( "d)y=3sin(4x/3 - pi/3)
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Algebra.Com's Answer #160963 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
write an equation of the sine function with amplitude 3,period 3pi/2, and phase shift pi/4\r
\n" ); document.write( "\n" ); document.write( "a)y=3sin(3x/2 - pi/4)
\n" ); document.write( "b)y=-3sin(4x/3 - pi/4)
\n" ); document.write( "c)y=-3sin(3x/2 - 3pi/8)
\n" ); document.write( "d)y=3sin(4x/3 - pi/3)\r
\n" ); document.write( "\n" ); document.write( "
 \r\n" );
document.write( "\"y+=+Asin%28Bx-C%29\", with B and C positive.\r\n" );
document.write( "\r\n" );
document.write( "has amplitude \"abs%28A%29\", period \"2pi%2FB\", and phase shift \"C%2FB\",\r\n" );
document.write( "The shift is right if \"C\" is positive and left if \"C\" \r\n" );
document.write( "is negative.\r\n" );
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document.write( "We'll test each possible answer:\r\n" );
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document.write( "a)\"y=3sin%283x%2F2+-+pi%2F4%29\"\r\n" );
document.write( "\r\n" );
document.write( "has amplitude \"abs%28A%29=abs%283%29=3\", \r\n" );
document.write( "period \"+2pi%2FB=%282pi%29%2F%283%2F2%29=%282pi%29%282%2F3%29+=+4pi%2F3+\"\r\n" );
document.write( "and phase shift \"C%2FB=%28pi%2F4%29%2F%283%2F2%29=%28pi%2F4%29%282%2F3%29=2pi%2F12=pi%2F6\".\r\n" );
document.write( "\r\n" );
document.write( "b)\"y=-3sin%284x%2F3+-+pi%2F4%29\"\r\n" );
document.write( "\r\n" );
document.write( "has amplitude \"abs%28A%29=abs%28-3%29=3\", \r\n" );
document.write( "period \"2pi%2FB=%282pi%29%2F%284%2F3%29=%282pi%29%283%2F4%29+=+6pi%2F4=3pi%2F2\"\r\n" );
document.write( "and phase shift \"C%2FB=%28pi%2F4%29%2F%284%2F3%29=%28pi%2F4%29%283%2F4%29=3pi%2F16\".\r\n" );
document.write( "\r\n" );
document.write( "c)\"y=-3sin%283x%2F2+-+3pi%2F8%29\"\r\n" );
document.write( "\r\n" );
document.write( "has amplitude \"abs%28A%29=abs%283%29=3\", \r\n" );
document.write( "period \"2pi%2FB=%282pi%29%2F%283%2F2%29=%282pi%29%282%2F3%29+=+4pi%2F3\"\r\n" );
document.write( "and phase shift \"C%2FB=%283pi%2F8%29%2F%283%2F2%29=%283pi%2F8%29%282%2F3%29=6pi%2F24=pi%2F4\".\r\n" );
document.write( "\r\n" );
document.write( "d)\"y=3sin%284x%2F3+-+pi%2F3%29\"\r\n" );
document.write( "\r\n" );
document.write( "has amplitude \"abs%28A%29=abs%283%29=3\", \r\n" );
document.write( "period \"2pi%2FB=%282pi%29%2F%284%2F3%29=%282pi%29%283%2F4%29+=+6pi%2F4=3pi%2F2\"\r\n" );
document.write( "and phase shift \"C%2FB=%28pi%2F3%29%2F%284%2F3%29=%28pi%2F3%29%283%2F4%29=3pi%2F12=pi%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "So (d) is the only correct choice.\r\n" );
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document.write( "Edwin
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