Question

For which discriminant is the graph possible

b2-4ac=0

b2-4ac=-1

b2-4ac=4

Answer 1

b^2 – 4ac = 4

Answer 2

The graph is possible for
`b^2-4ac=4`

Explanation:

we know that

The discriminant of a quadratic equation of the form

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

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 no real solution (complex solutions)

In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)

so

`b^2-4ac > 0`

therefore

The graph is possible for
`b^2-4ac=4`