The graph of a system of equations is shown on a coordinate plane. One graph represents a linear function, and the other represents a quadratic function. If the graphs intersect at exactly one point, which of the following statements must be true about the algebraic solution to the system? (The graph shown is for reference to a coordinate plane.)
The system has no real solutions.
The system has exactly two distinct real solutions.
The discriminant of the resulting quadratic equation (after substitution) is zero.
The quadratic function's vertex is the only solution.
