Final answer:
To find a quadratic function with complex roots, look for a parabola that does not touch or cross the x-axis, indicating that it has no real roots and therefore has two complex roots.
Step-by-step explanation:
The question pertains to identifying a graph of a quadratic function with complex roots. In the context of Two-Dimensional (x-y) Graphing, a quadratic function is represented by a parabola. If a quadratic function has complex roots, this means that the parabola does not intersect the x-axis at any point.
A quadratic function is generally expressed as y = ax² + bx + c. The roots of this equation are the values of x for which y equals zero. Complex roots occur when the discriminant, b² - 4ac, is negative, resulting in the parabola opening either upwards or downwards without touching or crossing the x-axis.
To identify the correct graph out of multiple choices, we look for the graph of a parabola that opens upward or downward and lies entirely above or below the x-axis, respectively. Such a graph would indicate that the quadratic function it represents has no real roots and hence has two complex roots.