Question

For which discriminant is the graph possible b2-4ac=0 b2-4ac=-1 b2-4ac=4

Answer 1

Answer:

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

Step-by-step 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 $b^2-4ac=4$