Question4. Discriminant and solutions of a quadratic equation from a graph
Given the discriminant, match it to its graph, then give the reason for your selection

Studdy Solution
Match the discriminant values to the graphs: - For Graph A, since there is one real solution, the discriminant must be $\Delta = 0$. - For Graph B, since there are no real solutions, the discriminant must be $\Delta < 0$, which is $\Delta = -16$. - For Graph C, since there are two distinct real solutions, the discriminant must be $\Delta > 0$, which is $\Delta = 40$.
Provide reasoning: - Graph A: Discriminant $\Delta = 0$, Reason: "One real solution." - Graph B: Discriminant $\Delta = -16$, Reason: "No real solution." - Graph C: Discriminant $\Delta = 40$, Reason: "Two distinct solutions."
The discriminant values matched to the graphs are:
- Graph A: $\Delta = 0$, Reason: "One real solution." - Graph B: $\Delta = -16$, Reason: "No real solution." - Graph C: $\Delta = 40$, Reason: "Two distinct solutions."