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

Answer:The fourth graph (see the attached figure)Step-by-step explanation:we know thatIn the quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] The discriminant D is equal to  [tex]D=(b^{2}-4ac)[/tex]If D=0 -----> the quadratic equation has only one real solutionIf D> 0 ---> the quadratic equation has two real solutionsIf D< 0 ---> the quadratic equation has two complex solutionsthereforeThe first graph has two real solutions (x=-2 and x=3) then the discriminant is greater than zeroThe second graph has two real solutions (x=-2 and x=2), then the discriminant is greater than zeroThe 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