Based on the description of the graph and the given options, here's how to evaluate each statement:
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The vertex is located at (3, −10): This can only be true if the parabola indeed has its vertex at the coordinate (3, -10).
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The c-value of the equation in standard form is −10: The c-value represents the y-intercept of the quadratic function in standard form \(y = ax^2 + bx + c\). If the parabola reaches the y-value of −10 at x = 0, then this statement would be true.
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The a-value is negative: If the parabola opens downwards, then the a-value is negative. If it opens upwards, the a-value is positive.
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The c-value of the equation in standard form is −1: This contradicts the earlier statement about the c-value being −10.
Without the specific visual from the image, I can't definitively say which statement is true. However, you should analyze the graph based on these descriptions:
- Check the coordinates of the vertex to affirm or deny the first statement.
- Identify the value where the parabola intersects the y-axis to determine the c-value.
- Observe the direction of the parabola to evaluate whether the a-value is negative or positive.
If the parabola opens downwards, the a-value is negative, which would make that statement true. Choose the option that aligns with your analysis of the graph.