The discriminant of the function is a negative option (A) negative is correct.
What is a quadratic equation?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a graph of a quadratic equation shown in the picture.
The graph of a quadratic equation is a parabola (It is defined as the graph of a quadratic function that has something bowl-shaped)
As we know the discriminant formula is:
D = b² - 4ac
The above formula is used to find the nature of the roots.
If D = 0 then there will only be one intersection at the x-axis.
If D > 0 then there will be two intersections at the x-axis.
If D < 0 then there will no intersection at the x-axis.
From the graph, there is no x-intersection which means:
D < 0 or
D is negative.
Thus, the discriminant of the function is a negative option (A) negative is correct.
Learn more about quadratic equations here:
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