25. to produce the graph of the function y=0.5cos(0.5x), what transformations should be applied to the graph of the parent function y=cot(x)?

a. a horizontal compression to produce a period of pi/2 and a vertical compression
b. a horizontal compression to produce a period of pi/2 and a vertical stretch
c. a horizontal stretch to produce a period of 2pi and a vertical compression
d. a horizontal stretch to produce a period of 2pi and a vertical stretch

C. A horizontal stretch to produce a period of and a vertical compression.

Step-by-step explanation:

We are given the parent function as

It is given that, transformations are applied to the parent function in order to obtain the function i.e.

That is, we see that,

The parent function is stretched horizontally by the factor of which gives the function .

Further, the function is compressed vertically by the factor of which gives the function .

Now, we know,

If a function f(x) has period P, then the function cf(bx) will have period .

Since, the period of is , so the period of is =

Hence, we get option C is correct.

C is correct...

Step-by-step explanation:

just took it on edge

$12. that is my answer.