Answer:
y = x[tex] {}^{2} [/tex] - 9x + 20
Step-by-step 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:
[tex](x - 4)(x - 5)[/tex]
[tex]x(x - 5) - 4(x - 5)[/tex]
[tex] {x}^{2} - 5x - 4x + 20[/tex]
[tex] {x}^{2} - 9x + 20[/tex]
So, after expansion , it becomes :
[tex] {x}^{2} - 9x + 20[/tex]
So, Option D is the correct option.
Hope this helps..
Best regards!!
