Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

The x-intercepts at 2 and 4 mean the factors must be (x − 2) and (x − 4), so the equation has the form f(x) = a(x − 2)(x − 4). Using the y-intercept, f(0) = −16, gives 8a = −16, so a = −2. Therefore, the equation is f(x) = −2(x − 2)(x − 4), choice C.

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