Question

Which transformations are needed to change the parent cosine function to y=3cos(10(x-pi))

Answer 1

D .

Vertical stretch of 2, horizontal compression to a period of pi/2 , phrase shift of pi unit to the right, vertical shift of 1 unit down.

Explanation:

Answer 2

`y=f(x-n)` is a translation to the right (along the x-axis) by 'n' units


`y=f(nx)` is a stretch horizontally by scale factor 1/n


`y=nf(x)` is a stretch vertically by scale factor of n

So
`y=3cos(10(x- \pi ))` is a translation of
`y=cos(x)` by
`\pi` to the right, and then stretched on the x-axis by scale factor
`(1)/(10)` and lastly stretched on the y-axis by scale factor of
`3`