To identify the key features of the parabola from the provided points, we have the following information:
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Y-Intercept: This is the point where the parabola crosses the y-axis. The y-intercept is given as (0, -6). So, the y-intercept is at \( (0, -6) \).
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X-Intercept on the Left: This is the point where the parabola crosses the x-axis on the left side. The left x-intercept is given as (2, 0). So, the x-intercept on the left is at \( (2, 0) \).
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X-Intercept on the Right: This is the point where the parabola crosses the x-axis on the right side. The right x-intercept is given as (6, 0). So, the x-intercept on the right is at \( (6, 0) \).
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Vertex: The vertex is the highest or lowest point on the parabola. The vertex is provided as (4, 2). So, the vertex is at \( (4, 2) \).
Summary of Key Features:
- Y-Intercept: \( (0, -6) \)
- X-Intercept on the Left: \( (2, 0) \)
- X-Intercept on the Right: \( (6, 0) \)
- Vertex: \( (4, 2) \)