Answer:
D. y = x^2 - 9x + 20
Step-by-step explanation:
According to the graph, y = 0, when x = 4 and when x = 5.
Therefore, we must calculate the roots of each answer.
A. y = (x + 4) (x + 5)
0 = (x + 4) (x + 5)
(x + 4) = 0 => x = -4
(x + 5) = 0 => x = -5
B. y = (x - 3) (x + 4)
0 = (x - 3) (x + 4)
(x - 3) = 0 => x = 3
(x + 4) = 0 => x = -4
C. y = x^2 - 8x +18
In this case, when we apply the general equation, we are left with
[tex]x = 4 + \sqrt{2}i[/tex]
[tex]x = 4 - \sqrt{2}i[/tex]
D. y = x^2 - 9x + 20
0 = (x - 4)(x - 5)
(x - 4) = 0 => x = 4
(x - 5) = 0 => x = 5
Therefore the answer is D. y = x^2 - 9x + 20
