Question

Which of the following is true of the discriminant for the graph below?

A. It is zero.
B. It is negative.
C. It is positive.
D. It is undefined.

Answer 1

Option C.

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.