Question

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

Answer 1

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

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`.