Looking at the graph, we can see that there is no place on that graph where it goes through the x-axis. Keep that in mind as we review the rules for the discriminant as it applies to the nature and number of solutions for our quadratic. If the discriminant is equal to 0, we have 1 real root multiplicity 2 (the vertex of the graph touches the x-axis right at the point); if the discriminant is greater than 0 we have 2 real solutions (the graph goes through the x-axis in 2 places); and if the discriminant is less than 0, we have imaginary roots (the graph doesn't go through the x-axis at all). Matching our graph to those descriptions should tell you that your discriminant is less than 0, the last choice above.
