The model represents a polynomial and its factors.

which equation is represented by the model?

x2 – 2x – 3 = (x – 3)(x + 1)
x2 – 4x + 3 = (x – 3)(x – 1)
x2 + 2x + 3 = (x + 3)(x – 1)
x2 + 4x – 3 = (x + 3)(x + 1)

So first, you want to go through each answer choice and try out the factors.
A.)
x^2-2x-3=(x-3)(x+1)
Use FOIL method.
First:  (x)(x)=x^2
Outside: x(1)=x
Inside: -3(x)=-3x
Last:  -3(1)=-3

You should end up with:
x^2+x-3x-3

Which then simplified is:
x^2-2x-3

So your answer is A.

Hey mate where is the graph