Question

question 3 of 10
using the graph as your guide, complete the following statement.
the discriminant of the function is ____.
graph of a parabola opening upwards, touching the x - axis at one point
a. zero
b. negative
c. positive

Explanation:

The graph of the quadratic function (a parabola) touches the x - axis at exactly one point. For a quadratic function \(y = ax^{2}+bx + c\), the discriminant is given by \(\Delta=b^{2}-4ac\). If the parabola touches the x - axis at one point, it means the quadratic equation \(ax^{2}+bx + c = 0\) has exactly one real root (a repeated root). When there is exactly one real root, the discriminant \(\Delta = 0\).

Answer:

A. zero