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

Explanation:

Step1: Find the x - intercepts

Set (f(x)=(x + 3)(x - 2)=0). By the zero - product property, (x+3 = 0) gives (x=-3) and (x - 2=0) gives (x = 2). So the x - intercepts are (x=-3) and (x = 2).

Step2: Determine the shape of the parabola

Expand (f(x)=(x + 3)(x - 2)=x^{2}+x - 6). Since the coefficient of (x^{2}) is (a = 1>0), the parabola opens upward.

Answer:

The graph with x - intercepts at (x=-3) and (x = 2) and opening upward. (Without seeing the specific options clearly labeled, this is the general description of the correct graph. If there were labeled options, we could identify the exact one based on the x - intercepts and upward - opening nature).