Answer:
The first graph has a discriminant greater than 0, which means that there are two different real solutions in that graph.
The second graph has a discriminant that equals 0, meaning there is a repeated solution.
The third graph has a discriminant of less than 0, meaning there are no solutions.
Explanation:
The discriminant of a quadratic function is sqrt(b^2-4ac).
In this case, we do not need to calculate the discriminant because we can see the graph and if it intersects the x-axis (meaning there is a solution).
1. In the first graph, we can see that the graph intersects the x-axis twice, so there are two solutions, meaning the discriminant is greater than 0.
2. In the second graph, we can see that the graph touches the x-axis once, so there is a repeated solution, meaning the discriminant is equal to 0.
3. In the third graph, the graph does not touch or intersect the x-axis, meaning there is no solution. Therefore, the discriminant is less than 0.