which is the graph of $f(x)=-(x + 3)(x + 1)$?

Explanation:

Step1: Find the x - intercepts

Set $f(x)=0$, then $-(x + 3)(x + 1)=0$. So $x=-3$ and $x=-1$ are the x - intercepts.

Step2: Determine the shape of the parabola

The function $f(x)=-(x + 3)(x + 1)=-x^{2}-4x - 3$, and the coefficient of $x^{2}$ is $-1<0$, so the parabola opens downwards.

Step3: Find the y - intercept

Set $x = 0$, then $f(0)=-(0 + 3)(0 + 1)=-3$.

Answer:

The graph with x - intercepts at $x=-3$ and $x=-1$, opening downwards and y - intercept at $(0,-3)$. (Since no specific graph is labeled, you would identify the graph with these characteristics among the given options).