Question

Which of the following functions best describes this graph?

Answer 1

The two solutions are 3 and 6. This means that you can write your parabola as

`y=(x-3)(x-6)=x^2-9x+18`

Answer 2

B.
`x^2-9x+18`

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`

Now, multiply (x-3) and (x-6) then, we get

`(x-3)(x-6)`

`x(x-6)-3(x-6)`

`x^2-6x-3x+18`

`x^2-9x+18`

Hence, the function which describes the best graph is given by

`x^2-9x+18`