Key Concepts:
- One Intersection: When a quadratic and linear equation meet at exactly one point.
- No Intersection: When equations have no common solution.
- Multiple Intersections: When equations meet at more than one point.
Skills Covered:
- Recognizing how different graphs intersect
- Determining special cases of systems
Example Problems:
- Find the value of k such that the line (y = kx + 3) is tangent to the parabola (y = x^2 - 4x + 3).
- Explain why the system (y = x^2 + 4) and (y = -x^2 + 1) has no solutions.