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SAT官方每日一题附答案和解析[数学](2014年11月27日)

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答案:A

解析:

Since the graph of y = (x^2)-(4x) + c in the xy-plane contains the point (-2,0), it follows that substituting the value x = -2 into y = (x^2)-(4x) + c) yields y = 0. Hence 0 = ((-2)^2)-4(-2) + c, which simplifies to 0 = 4-(-8) + c, or 0 = 12 + c. Therefore, c = -12.

Alternatively, since the graph of y = (x^2)-(4x) + c) in the xy-plane contains the points (-2,0) and (6,0), and the coefficient of x^2 is 1, the equation is equivalent to y = (x +2)(x-6), which multiplies out to y = (x^2)-(4x)-12. Therefore, c = -12.


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