Question

How do you write the equation form is y= a sin bx if the amplitude: 2 and period: 4?

Answer 1

I found: `y=2sin(pi/2x)`

Explanation:

Consider that:
Amplitude`=a=2`
`b=(2pi)/"period"=2pi/4=pi/2`
so you get:
`y=2sin(pi/2x)`

Graphically:
graph{2sin(pi/2x) [-10, 10, -5, 5]}