Which of the following quadratic curves will not intersect with the x- axis?
\(y = 2 - 4x - x^{2}\)
\(y = x^{2} - 5x -1\)
\(y = 2x^{2} - x - 1\)
\(y = 3x^{2} - 2x + 4\)
Correct answer is D
The criterion for the quadratic curve to intersect the x- axis is \(b^{2} > 4ac\).