How to scale graphs of sine and cosine functions?

I know how to find the amplitude and shifts.

I need help understanding how to scale the graphs and where the period actually is.

Please help, I'm confusing myself too much.

Question

How to scale graphs of sine and cosine functions?

I know how to find the amplitude and shifts.

I need help understanding how to scale the graphs and where the period actually is. 

Please help, I'm confusing myself too much.

anonymous · Answer

In the function $$f(x)=asin(bx +c)+d,$$ a changes the amplitude, b changes the period, c changes the phase shift, and d changes the vertical shift. A larger value of b will decrease the period, whereas a smaller value of b will increase the period.

anonymous · Answer

Upon finding all the values, such as amp, the period and any shifts, how would I know how to graph the actual graph, and more importantly, to scale the horizontal axis?