Question

which graph represents a parabola whose corresponding quadratic equation has imaginary roots?
(1) \t\t\t(2) \t\t\t(3) \t\t\t(4)
your answer

Explanation:

A quadratic equation has imaginary roots when its corresponding parabola does not intersect the x-axis. This happens if the parabola opens upward and its vertex is above the x-axis, or opens downward and its vertex is below the x-axis. Among the given graphs, only option (2) meets this criterion.

Answer:

(2) The parabola opening upward with vertex above the x-axis