Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?

The x-intercepts −1 and −5 mean the factors are (x + 1) and (x + 5), so the equation must have the form f(x) = a(x + 1)(x + 5). Using the y-intercept, substitute x = 0 and f(0) = −30: −30 = a(1)(5), so a = −6. Therefore, the correct choice is A, f(x) = −6(x + 1)(x + 5).

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