I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if the vertex of a parabola is the orgin itself, the two points are coincident,
But what if the roots are complex? How many times would the graph cross the x-axis.
Such a parabola is not possible in the real plane. If you can draw the parabola on x-y plane, it should have two real roots.
COMMENT FROM STUDENT:
I am not quite ...
Parabolas and Complex Roots are discussed.