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Which of the following quadratic curves will not intersect with the x- axis?

Which of the following quadratic curves will not intersect with the x- axis?

  • A.
    (y = 2 – 4x – x^{2})
  • B.
    (y = x^{2} – 5x -1)
  • C.
    (y = 2x^{2} – x – 1)
  • D.
    (y = 3x^{2} – 2x + 4)
Correct Answer: Option D
Explanation

The criterion for the quadratic curve to intersect the x- axis is (b^{2} > 4ac).