What can be said about the discriminant of the graph below?

C. The discriminant is negative, so there are no solutions.

Step-by-step explanation:

We see that the given figure is a graph of a parabola.

The equation of the given parabola is .

Simplifying the equation in quadratic form, we get,

The equation is i.e. i.e. .

We know that the discriminant of a quadratic equation is given by

So, from the equation , we have,

a = 1, b = -6 and c = 10

Thus, the discriminant is

i.e.

i.e.

So, the discriminant is -4 i.e. negative.

Hence, as the discriminant is negative, there are no solutions.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2