Given:
There are given that the parent functions as a cosine function:
Where,
The amplitude of the function is 9.
The vertical shift is 11 units down.
Explanation:
To find the cosine function, we need to see the standard form of the cosine function:
![f(x)=acos(bx+c)+d](https://tex.z-dn.net/?f=f%28x%29%3Dacos%28bx%2Bc%29%2Bd)
Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:
![f(x)=9cos(bx+c)+d](https://tex.z-dn.net/?f=f%28x%29%3D9cos%28bx%2Bc%29%2Bd)
The vertical shift is 11 units down, which means:
![f(x)=9cos(bx+c)-11](https://tex.z-dn.net/?f=f%28x%29%3D9cos%28bx%2Bc%29-11)
For period:
![\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D-9cos%28%5Cfrac%7B12%5Cpi%7D%7B7%7Dx%2B0%29-11%20%5C%5C%20f%28x%29%3D-9cos%28%5Cfrac%7B12%5Cpi%7D%7B7%7Dx%29-11%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the cosine function is shown below;
YES
Step-by-step explanation:
The five types of infinitives are full infinitives, bare infinitives, split infinitives, continuous infinitives , and perfect continuous infinitive.
Explanation:
Types of infinitives:
Five types of infinitives are as follow:
- Full infinitives : Add 'to' Infront of the verb to complete the the situation.
- Bare infinitives: here " to" get omitted from the sentence.
- Split infinitives : Here adjectives slides between infinitives marker.
To hear : full infinitives changes to split infinitives : to slowly hear.
- Continuous infinitives: Action going for certain period of required time.
Example : to be missing
- Perfect continuous infinitives: prior to a time :
Example : to have seen
Therefore, there are are five types of infinitives .
Learn more about infinitives here
brainly.com/question/1219442
#SPJ4