Question

Which of the following functions best describes this graph ?

Answer 1

y = x
`{}^(2)` - 9x + 20

Explanation:

As seen from the graph , the function cuts the x-axis at 4 and 5. So, the roots of function are 4 and 5.

The function becomes :

( x - 4 ) ( x - 5 )

Expanding:

`(x - 4)(x - 5)`

`x(x - 5) - 4(x - 5)`

`{x}^(2) - 5x - 4x + 20`

`{x}^(2) - 9x + 20`

So, after expansion , it becomes :

`{x}^(2) - 9x + 20`

So, Option D is the correct option.

Hope this helps..

Best regards!!