It appears you are working on labeling a parabola and identifying key points. I can help guide you through this, but I need more information about the specific parabola you are analyzing (i.e., its equation or a graph).
Please provide either the equation of the parabola or details about its graph so I can assist you effectively.
Here are the general steps to identify key parts of a parabola:
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Vertex: The vertex can be found at the point where the parabola changes direction. For the equation in the vertex form \(y = a(x - h)^2 + k\), the vertex is \((h, k)\).
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Zerøes (Roots): These are the points where the parabola intersects the x-axis. You can find them by setting the equation equal to zero and solving for \(x\).
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Line of Symmetry: This is a vertical line that runs through the vertex. Its equation is \(x = h\), where \(h\) is the x-coordinate of the vertex.
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Y-intercept: This is the point where the parabola intersects the y-axis. You can find it by evaluating \(f(0)\).
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Table Completion: To complete the table, substitute the provided \(x\) values into the equation of the parabola to find the corresponding \(f(x)\) values.
If you provide additional details, I can tailor my instructions specifically to your problem!