Let a, b, and c be constants (with a =/= 0), and consider

Let a, b, and c be constants (with a =/= 0), and consider the system: ax^2+bx+c y=k For which value of k (in term a, b, and c) will the system have exactly one solution? What is that solution? What is the relationship between this solution you' ve found and the graph of y = ax^2 + bx + c?