The first thing we should know for this case is that the standard parabola equation is:
ax2 + bx + c
In a factored way it is:
(x-x1) (x-x2) = 0
Where,
x1, x2: are the roots of the equation.
We have in this case:
x1 = 4
x2 = 5
Rewriting we have:
y = (x-4) (x-5)
y = x ^ 2 -5x -4x +20
y = x ^ 2 - 9x + 20
Answer:
y = x ^ 2 - 9x + 20
option D
