Question

Which of the following functions best describes this graph?

Answer 1

D:
`y=x^(2) -9x+18\\`

Explanation:

x intercept of the curve is 3 and 6

meaning that when y=0, x is either 3 or 6

mathematically stated:

0 = (x - 3) (x - 6)

0=x(x-6)-3(x-6)

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

Answer 2

Option D

Explanation:

Looking at the graph each jump is 2 units on the x-axis and y-axis :

We are looking for a quadratic with x values of 3 and 6 when y=0

Solving the last quadratic gives us :

(x-3)(x-6)=0

x = 3 , x = 6

Our answer will be Option D

Hope this helped and have a good day