jac: given function y= 3sin(2pix) find amplitude and period
A more general equation would be
Consider y=sin(x)
This is the most basic of sine funtions.
It has an amplitude of 1 and a wavelength of 2pi radians (360degrees)
Amplitude is the distance from the centre of the wave to the highest point (resting point to peak)
Wavelength (the symbol is the upside down y thing called Lambda) is the distance the wave travels in one cycle.
Now look at a slightly more complicated one
y=Asin(Bx)
This time the amplitude is A
and the period is 2pi / |B| Do you need more than this? Have a look at this site. You can play with A and B and see what happens.
https://www.desmos.com/calculator/nzql7i9y90
I've set the sliders for A=1 and B=1 you can move them to see what happens if A and B have different values.
Now, you should be able to tell me, what it the amplitude and the period of y = 3sin(2pix)