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.