Answer:
B.[tex]x^2-9x+18[/tex]
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
[tex]x-3=0, x-6=0[/tex]
Now, multiply (x-3) and (x-6) then, we get
[tex](x-3)(x-6)[/tex]
[tex]x(x-6)-3(x-6)[/tex]
[tex]x^2-6x-3x+18[/tex]
[tex]x^2-9x+18[/tex]
Hence, the function which describes the best graph is given by
[tex]x^2-9x+18[/tex]
