document.write( "Question 519644: how do you graph y= a sin b(x+2pie)+d \n" ); document.write( "

Algebra.Com's Answer #346789 by lwsshak3(11628) $\"\"$ $\"About$

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how do you graph y= a sin b(x+2pie)+d
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\n" ); document.write( "Standard form of equation for graphing sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B,
\n" ); document.write( "Phase-shift=C/B.
\n" ); document.write( "Rewrite given equation to standard form:
\n" ); document.write( "y=a sin(bx+b2π)+d
\n" ); document.write( "Steps for graphing:
\n" ); document.write( "1.Period=2π/b
\n" ); document.write( "1/4 perod=π/2b
\n" ); document.write( "2.Phase-shift=C/B=b2π/b=2π (shift to left)
\n" ); document.write( "3.Amplitude=a
\n" ); document.write( "4.vertical shift=d
\n" ); document.write( "5.On an (x,y) coordinate system, identify the (x,y) coordinates for the basic sin curve for given period, at each 1/4 period: (0,0), (π/2b,a), (π/b,0), (3π/2b,-a), (2π/b,0)
\n" ); document.write( "6.Shift the x-coordinates 2π units to the left.
\n" ); document.write( "7.For the final configuration, raise the y-coordinate d units vertically. This would make the maximum amplitude=a+d and minimum amplitude -a+d \n" ); document.write( "

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