To identify the key features of a parabola, we need specific information about its equation or a graph with its vertex and intercepts clearly marked. However, since this information is not provided here, I will guide you on how to determine these features generally.
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Vertex: The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. You can find it by looking for the point that is at the peak (for downward-opening parabolas) or the lowest point (for upward-opening parabolas) in the plotted points.
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X-intercepts: These are the points where the parabola crosses the x-axis. You can find these by looking for the values of \(x\) where \(y = 0\). A parabola can have zero, one, or two x-intercepts.
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Y-intercept: This is the point where the parabola crosses the y-axis, which can be found by looking at the value of \(y\) when \(x = 0\).
If you can share the equation of the parabola, specific points, or a plot of the graph, I can help identify these key features accurately.
For example, if the parabola has a vertex at (3, -1) and intercepts at (-1, 0) and (7, 0), the specific answers would look like:
- vertex: (3, -1)
- (smaller) x-intercept: (-1, 0)
- (larger) x-intercept: (7, 0)
- y-intercept: (0, -8)
Please provide additional information or a graph for a precise identification.
1 answer