Answer:
Option C.
Step-by-step explanation:
By definition of the discriminant of a quadratic equation,
- If discriminant is < 0, graphed parabola will have no real roots.
- If discriminant is = 0, parabola will have exactly one root.
- If discriminant is > 0, parabola will have two different real roots.
From the graph attached,
Parabola intercepts x-axis at two distinct points, which means there are two roots (two distinct x-values) of the given quadratic equation.
Therefore, discriminant for the graph is positive.
Option C. is the answer.
