Which equation, when graphed, has x -intercepts at negative 1 comma 0 and negative 5 comma 0 and a y -intercept at 0 comma negative 30 ?

The x-intercepts are −1 and −5, so the factors must be (x + 1) and (x + 5). This gives f(x) = a(x + 1)(x + 5). Using the y-intercept, f(0) = −30, so 5a = −30 and a = −6. Therefore, the equation is f(x) = −6(x + 1)(x + 5), choice A.

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