Question

Algebraically what is the discriminant of the following image. O Discriminant < 0 O Discriminant = 0 O Discriminant > 0 O Discriminant does not exist 1 N 3 4

Answer 1

The graph of a Quadratic function is a parabola. Given the function in the form

`y=ax^2+bx+c`

By definition, the Discriminant can be found with:

`D=b^2-4ac`

- When the Discriminant is

`D>0`

the function has two distinct Real roots.

-When

`D<0`

the function has no Real roots, but two Imaginary roots.

- When

`D=0`

the function has one Real root.

In this case you need to analyze the graph given in the exercise. You can notice that the parabola does to cut the x-axis. which means that the function has no Real solutions. Then

`D<0`

Therefore, the answer is: First option.