Hi!
Positive discriminants will give you two solutions.
Discriminants equal to zero will give you one solution.
Negative discriminants will give you no solutions.
In a graph, the number of solutions is where the graph crosses the x-axis.
In the first graph, we can see it intersects the graph at two points: (2, 0) and (6, 0). Since there are two solutions it is a positive discriminant.
In the second graph, we can see it intersects at one point: the origin, or (0, 0). Since there is one solution it is a discriminant equal to zero.
In the third graph, we can see it doesn't intersect; it is above the x-axis. Since there are no solutions it is a negative discriminant.
For similar problems, see:
https://brainly.com/question/4592351
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