Question

How do you find the amplitude and period of `y = -2 sin (1/2) x`?

Answer 1

Amplitude is `2` and period is `4pi`

Explanation:

For a general sine graph of form `y=asinbx`, the amplitude is `|a|` and the period is `(2pi)/b`

So in this case the amplitude is `2` and the period is `(2pi)/(1//2)=4pi`

This means that the maximum displacement from the rest position or x axis is 2 units, and the time taken for 1 complete cycle on the x-axis is `4pi` radians.