Answer:
B.![x^2-9x+18](https://tex.z-dn.net/?f=x%5E2-9x%2B18)
Step-by-step explanation:
We are given that a graph of a polynomial function.
We have to find the function which describes the best given graph
x- Intercept: It is defined as the value of x for which the value of f(x) equals to 0.
We can see that form given graph,
The value of f(x) is zero at x=3 and x=6
Now, we can write as
![x-3=0, x-6=0](https://tex.z-dn.net/?f=x-3%3D0%2C%20x-6%3D0)
Now, multiply (x-3) and (x-6) then, we get
![(x-3)(x-6)](https://tex.z-dn.net/?f=%28x-3%29%28x-6%29)
![x(x-6)-3(x-6)](https://tex.z-dn.net/?f=x%28x-6%29-3%28x-6%29)
![x^2-6x-3x+18](https://tex.z-dn.net/?f=x%5E2-6x-3x%2B18)
![x^2-9x+18](https://tex.z-dn.net/?f=x%5E2-9x%2B18)
Hence, the function which describes the best graph is given by
![x^2-9x+18](https://tex.z-dn.net/?f=x%5E2-9x%2B18)