Question 880989
I have to write a comparison of these two periodic functions: 
f(x)= 3sin(piX/4)-2 
amp = 3
vertical shift: 2 units down
horizontal shift: none
period: (2pi)/(pi/4) = 8
eqilibrium when 3sin(piX/4)-2 = 0
Solve::sin(piX/4) = 2/3
piX/4 = arcsin(2/3) = 0.7297
X = 4(0.7297)/pi = 0.9291
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g(x)= -2sin(12piX/5)+7
amp = 2
vertical: reflection in x-axis
vertical shift: 7 up
horizontal shift: none
period: (2pi)/(12pi/5) = 5/6
equilibrium when -2sin(12piX/5) + 7 = 0
Solve: sin(12piX/5)= 7/2
sin cannot be more than 1

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Cheers,
Stan H.
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