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PD0038 · Problem 55

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Problem

In the xyxy-plane, the parabola y=ax2+bx+cy = ax^2 + bx + c, where aa, bb, and cc are constants, passes through (1,6)(-1,6) and (5,6)(5,6), opens upwards, and has two distinct xx-intercepts. Which of the following must be true?
  1. b<0b < 0
  2. c>0c > 0
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