Question

Which graph shows a quadratic function with a discriminant value of 0?

Answer 1

the fourth one

Explanation:

Answer 2

The fourth graph (see the attached figure)

Explanation:

we know that

In the quadratic equation of the form

`ax^(2) +bx+c=0`

The discriminant D is equal to
`D=(b^(2)-4ac)`

If D=0 -----> the quadratic equation has only one real solution

If D> 0 ---> the quadratic equation has two real solutions

If D< 0 ---> the quadratic equation has two complex solutions

therefore

The first graph has two real solutions (x=-2 and x=3) then the discriminant is greater than zero

The second graph has two real solutions (x=-2 and x=2), then the discriminant is greater than zero

The third graph has no real solutions, then the discriminant is less than zero

The fourth graph has only one real solution (x=1), then the discriminant must be equal to zero