We are asked to determine the discriminant of the given quadratic graph.
Refer to the image below
Comparing the given graph with the above image, we see that the given graph is vertically shifted upward (above the x-axis)
The graph does not intersect the x-axis which means no real solutions.
This means that the discriminant of the given graph must be negative (less than 0)
Therefore, the correct answer is the 1st option
There are no real solutions when the discriminant is less than 0.