document.write( "Question 858603: write the amplitude,period,phase shift and vertical shift of y= -2 sin(4x+pi/3)-1 \n" ); document.write( "

Algebra.Com's Answer #517269 by lwsshak3(11628) $\"\"$ $\"About$

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write the amplitude,period,phase shift and vertical shift of
\n" ); document.write( "y= -2 sin(4x+pi/3)-1
\n" ); document.write( "form of equation for sin function: y=Asin(Bx-C)+D, A=amplitude, Period=2π/B, Phase shift=C/B, Vertical shift=D
\n" ); document.write( "For given sin function:y= -2 sin(4x+pi/3)-1
\n" ); document.write( "amplitude=2
\n" ); document.write( "B=4
\n" ); document.write( "Period=2π/B=2π/4=π/2
\n" ); document.write( "C=-π/3
\n" ); document.write( "Phase shift=C/B=(-π/3)/4=-π/12 (phase shift to the left)
\n" ); document.write( "Vertical shift=1 unit down
\n" ); document.write( "The negative sign in front means the graph is reflected about the x-axis. \n" ); document.write( "

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