which is the graph of $f(x)=(x + 3)(x - 2)$?

Explanation:

Step1: Expand the function

$f(x)=(x + 3)(x - 2)=x^{2}+x - 6$.

Step2: Determine the sign of the leading - coefficient

The leading - coefficient of $y = x^{2}+x - 6$ is $a = 1>0$, so the parabola opens upward.

Step3: Find the x - intercepts

Set $y = 0$, then $(x + 3)(x - 2)=0$. Solving for $x$, we get $x=-3$ or $x = 2$.

Answer:

The graph with a parabola opening upward and x - intercepts at $x=-3$ and $x = 2$. (The first graph among the options if ordered as shown in the problem image where the first two graphs open upward and the last two open downward, and the first upward - opening graph has x - intercepts at the correct values).