Question

question 5 of 10
using the graph as your guide, complete the following statement.
the discriminant of the function is _____.
graph of a parabola opening upwards, vertex above the x - axis, not intersecting the x - axis
a. negative
b. positive
c. zero

Explanation:

The graph of the quadratic function (a parabola) does not intersect the x - axis. For a quadratic function \(y = ax^{2}+bx + c\), the discriminant \(\Delta=b^{2}-4ac\) determines the number of real roots. If the parabola does not intersect the x - axis, there are no real roots, which means \(\Delta<0\) (negative discriminant).

Answer:

A. negative