A parabola in the coordinate geometry plane is represented by the equation \(y = x^2 + k,\) where \(k\) is a constant

[M7MBA]

A parabola in the coordinate geometry plane is represented by the equation \(y = x^2 + k,\) where \(k\) is a constant greater than \(0.\) Line \(L\) intersects this parabola at exactly one point. Is this point of intersection in Quadrant \(I?\)

(1) The slope of line \(L\) is positive.

(2) \(x\) is greater than \(0.\)

Answer: D

Source: Veritas Prep