Algebra-1

Question Analysis
This question tests the student's ability to determine the number of solutions to a system of a quadratic equation and a linear equation. 

Key Concept Explanation
The number of solutions to the system is determined by the number of intersection points between the parabola and the line. If the line is tangent to the parabola, there is exactly one solution.

Step-by-step Solution

1. Plot the parabola (opens downwards; vertex at , giving the vertex coordinates

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