Answer: Never crosses x-axis.
- A Crosses x-axis twice
- B Touches x-axis once
- C Never crosses x-axis
- D Is undefined
Correct answer: C. Never crosses x-axis
Explanation: D < 0: no real roots means the parabola does not intersect the x-axis at all. It is entirely above or below.
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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