Question

How do you find the amplitude and period of `y= 6 sin x`?

Answer 1

The amplitude is `6` the period `2pi`.

Explanation:

`sin(x)` oscillate between `-1` and `+1` because it is constructed in the circle of radius `1`. Then, when it is multiplied by `6` it will oscillate between `-6` and `+6`, so the amplitude will be `6`.

The period is when the function repeats its values. For the `sin` this happens after `2pi`. The variable `x` is in the `sin` without any modification, so the period is still `2pi`.