Question

If the function y = sinx is transformed to v= 3.sin(x), how do the amplitude and period change?

Answer 1

The amplitude changes from 1 to 3

The period is unchanged

Step-by-step explanation:

Given that the function

`y=\sin x`

is transformed to

`v=3\sin x`

We want to know how the amplitude and period change.

Consider the transformation:

`y=a\sin \mleft(bx+c\mright)+d`

Where a is the amplitude

Period is:

`(2\pi)/(b)`

The amplitude changes from 1 to 3

The period is unchanged