Question

here is a graph that represents a quadratic function. which expression could define this function? (x + 3)(x + 1) (x + 3)(x - 1) (x - 3)(x + 1) (x - 3)(x - 1)

Explanation:

Step1: Identify x-intercepts from graph

The graph crosses the x-axis at $x=-1$ and $x=3$.

Step2: Write factored form of quadratic

For x-intercepts $r_1$ and $r_2$, the function is $(x-r_1)(x-r_2)$. Substitute $r_1=-1$, $r_2=3$:
$(x - (-1))(x - 3) = (x+1)(x-3)$

Answer:

$(x - 3)(x + 1)$ (orange option)