document.write( "Question 637589: graph the function of y= 5-4 cos x/2
\n" ); document.write( "HELP! TY@ \n" ); document.write( "
Algebra.Com's Answer #401777 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
graph the function of y= 5-4 cos x/2
\n" ); document.write( "rewrite equation:
\n" ); document.write( "y=-4 cos x/2+5
\n" ); document.write( "Standard form of equation for cos function: y=Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
\n" ); document.write( "For given function:y=-4 cos x/2+5
\n" ); document.write( "Amplitude=4
\n" ); document.write( "B=1/2
\n" ); document.write( "Period=2π/B=2π/(1/2)=4π
\n" ); document.write( "1/4 period=π
\n" ); document.write( "C=0
\n" ); document.write( "Phase shift: none
\n" ); document.write( "curve is bumped up 5 units
\n" ); document.write( "..
\n" ); document.write( "Graphing:
\n" ); document.write( "I don't have the means to graph the function, but I will develop the coordinates for one period with which you can use to draw the graph yourself.
\n" ); document.write( "Start with the basic cos function:
\n" ); document.write( "(0,1), (π,0), (2π,-1), (3π,0), (0,1)
\n" ); document.write( "reflect about the x-axis:
\n" ); document.write( "(0,-1), (π,0), (2π,1), (3π,0), (0,-1)
\n" ); document.write( "raise amplitude to 4 units
\n" ); document.write( "(0,-4), (π,0), (2π,4), (3π,0), (0,-4)
\n" ); document.write( "finally, bump up curve 5 units
\n" ); document.write( "(0,1), (π,5), (2π,9), (3π,5), (0,1) (final configuration)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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