Question

What is the possible discriminant of the graph?

Answer 1

From what I can tell, the x-intercepts/solutions/zeroes, are imaginary.
The discriminant is b^2 - 4ac.
If it is a perfect square, the two roots will be rational and it can be factored.
If it is negative, the roots will be complex and therefore never intersect the x-axis.
If it is 0, then it means that there will be a double root.
If it is any positive number that is not a perfect square, then the roots are irrational.
Based on the fact that the roots are irrational, what are the possible values fro the discriminant?

Answer 2

Imaginary roots occur when the graph doesn't ever intersect the x-axis.

Answer 3

Which of the answers is negative? A negative discriminant means an imaginary root.

Answer 4

-16

Answer 5

There you go :)

Answer 6

It has no real roots so the discriminant is negative.