Question

PLEASE ANSWER THIS: look at the pic for question. Thanks!!!

Answer 1

Answer:

$\text{D. }b^2-4ac>0$

Step-by-step explanation:

The equation $b^2-4ac$ represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

• If the discriminant is positive, or greater than 0, the quadratic has two solutions

• If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).

• If the discriminant is negative, or less than 0, the quadratic has zero solutions

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have $b^2-4ac>0$.