document.write( "Question 875565: find amplitude,period,frequency,phase shift, and vertical shift. than graph two periods of the functions for y=sin(x+5pi/6)+4 \n" ); document.write( "

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find amplitude,period,frequency,phase shift, and vertical shift. than graph two periods of the functions for y=sin(x+5pi/6)+4
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\n" ); document.write( "Form of equation for sin function: y=Asin(Bx-C)+D, A=amplitude, period=2pi/B, phase shift=C/B, D=vertical shift.
\n" ); document.write( "For given sin function:
\n" ); document.write( "Amp;itude=1
\n" ); document.write( "B=1
\n" ); document.write( "period=2pi/B=2pi
\n" ); document.write( "frequency=1/period=1/2pi
\n" ); document.write( "C=5pi/6
\n" ); document.write( "phase shift=C/B=5pi/6 (shift left)
\n" ); document.write( "D=vertical shift 4 units up
\n" ); document.write( "y-intercept:
\n" ); document.write( "set x=0
\n" ); document.write( "y=sin(x+5pi/6)+4=sin(0+5pi/6+4=1/2+4=4 1/2
\n" ); document.write( "see graph below:
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-1%2C+15%2C+-1%2C+6%2Csin%28x%2B5%28pi%29%2F6%29%2B4%29+\"$ \n" ); document.write( "

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