Question

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

Answer 1

$y=f(x-n)$ 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 $\frac{1}{10}$ and lastly stretched on the y-axis by scale factor of $3$

Answer 2

Answer:

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.

Step-by-step explanation: