`y = 2sin(5x)` Find the period and the amplitude

Expert Answers

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This would be an example of what's called a sinusoidal function.  The general form for that is:

y = A*sin(Bt-C)+D

Where A --> amplitude

B --> period = 2*pi/B

C --> phase shift = C/B

D --> vertical shift

So, simply matching the numbers up, the amplitude would be 2.  And, the period would be 2*pi/5 = 0.4*pi.

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