It appears you're describing a parabola based on some points you provided. To clarify the information you've given:
- The parabola starts at the point (0, -6).
- It goes up to the point (4, 2).
- Then it returns down to the point (8, -6).
From the points you provided, we can identify the following characteristics:
- Starts at (0, -6): This is where the parabola begins, indicating the y-intercept, which is -6.
- Point (4, 2): This is a vertex or turning point, indicating it is at its maximum height here.
- Returns to (8, -6): This suggests that this point is also a point on the parabola that intersects the same y-value as the starting point.
Given this description, your parabola opens downwards (since it starts low, rises, and then falls again), and it is symmetrical around the vertical line that would bisect the segment from (0, -6) to (8, -6) at (4, 2).
Key Points:
- Vertex: (4, 2)
- Y-Intercept: (0, -6)
- X-Intercepts: The parabola intersects the y-value of -6 at both points (0, -6) and (8, -6), so these could be considered as the x-intercepts if the x-coordinates are set up for a quadratic function.
If you need more specific calculations or a function representation, let me know!