document.write( "Question 880989: I have to write a comparison of these two periodic functions: f(x)= 3sin(piX/4)-2 and g(x)= -2sin(12piX/5)+7.\r
\n" ); document.write( "\n" ); document.write( "- I need to discuss amplitude - relate it to verticle dilation, verticle shift and its relationship to the line of equilibrium.
\n" ); document.write( "- mention any other transformations.\r
\n" ); document.write( "\n" ); document.write( "what i have figured out so far is that both have no phase shifts and both cross the line of equilibrium halfway between a peak and a trough. I'm just not sure if i'm right and haven't fully answer the question. I'll be really happy to get some help. thank you! \n" ); document.write( "
Algebra.Com's Answer #531849 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I have to write a comparison of these two periodic functions:
\n" ); document.write( "f(x)= 3sin(piX/4)-2
\n" ); document.write( "amp = 3
\n" ); document.write( "vertical shift: 2 units down
\n" ); document.write( "horizontal shift: none
\n" ); document.write( "period: (2pi)/(pi/4) = 8
\n" ); document.write( "eqilibrium when 3sin(piX/4)-2 = 0
\n" ); document.write( "Solve::sin(piX/4) = 2/3
\n" ); document.write( "piX/4 = arcsin(2/3) = 0.7297
\n" ); document.write( "X = 4(0.7297)/pi = 0.9291
\n" ); document.write( "--------------------------------------
\n" ); document.write( "g(x)= -2sin(12piX/5)+7
\n" ); document.write( "amp = 2
\n" ); document.write( "vertical: reflection in x-axis
\n" ); document.write( "vertical shift: 7 up
\n" ); document.write( "horizontal shift: none
\n" ); document.write( "period: (2pi)/(12pi/5) = 5/6
\n" ); document.write( "equilibrium when -2sin(12piX/5) + 7 = 0
\n" ); document.write( "Solve: sin(12piX/5)= 7/2
\n" ); document.write( "sin cannot be more than 1\r
\n" ); document.write( "\n" ); document.write( "===========
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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