I have a problem which is asking for amplitude and the period and to sketch th graph.

How would i do y = 4 sin x

Please show some work so i can learn how to do this to finish the rest.

Question

I have a problem which is asking for amplitude and the period and to sketch th graph.

How would i do y = 4 sin x

Please show some work so i can learn how to do this to finish the rest.

amistre64 · Answer

amplitude is the scalar; akin to slope

amistre64 · Answer

period is normal in this case; as is all the rest in it

phi · Answer

Here's a plot http://www.wolframalpha.com/input/?i=plot++y+%3D+4+sin+x

phi · Answer

The amplitude is the height of the sin wave above zero.  It's the 4 in front of the sin
The period is one wave length.  one way to find it is remember (memorize)
in $\sin( \frac{2\pi}{T} x)$ T is the period.  so in your case set up an equation between the coefficient of x in sin(x) = 2pi/T
Here the coefficient is just 1
so 1= 2pi/T and T= 2 pi

phi · Answer

If you had sin(2x) the amplitude is 1 
to find the period:
solve 2 = 2 pi/T  for T:
T= pi