Based on the analysis of each of the nine graphs, here is the solution for each one. The task was to determine the vertex, the axis of symmetry, whether the vertex is a maximum or minimum value, and the range of the function.
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Graph 1:
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Vertex: (2, 1)
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Axis of Symmetry: x = 2
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Max or Min: Maximum (since the parabola opens downwards)
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Range: y ≤ 1
Graph 2:
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Vertex: (-3, -2)
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Axis of Symmetry: x = -3
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Max or Min: Minimum (since the parabola opens upwards)
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Range: y ≥ -2
Graph 3:
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Vertex: (0, -4)
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Axis of Symmetry: x = 0
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Max or Min: Minimum (since the parabola opens upwards)
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Range: y ≥ -4
Graph 4:
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Vertex: (-2, 1)
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Axis of Symmetry: x = -2
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Max or Min: Maximum (since the parabola opens downwards)
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Range: y ≤ 1
Graph 5:
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Vertex: (2, -3)
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Axis of Symmetry: x = 2
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Max or Min: Minimum (since the parabola opens upwards)
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Range: y ≥ -3
Graph 6:
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Vertex: (1, 2)
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Axis of Symmetry: x = 1
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Max or Min: Minimum (since the parabola opens upwards)
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Range: y ≥ 2
Graph 7:
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Vertex: (2, -1)
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Axis of Symmetry: x = 2
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Max or Min: Minimum (since the parabola opens upwards)
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Range: y ≥ -1
Graph 8:
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Vertex: (-1, 0)
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Axis of Symmetry: x = -1
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Max or Min: Maximum (since the parabola opens downwards)
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Range: y ≤ 0
Graph 9:
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Vertex: (1, 0)
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Axis of Symmetry: x = 1
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Max or Min: Minimum (since the parabola opens upwards)
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Range: y ≥ 0
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Parent Tip: Review the logic above to help your child master the concept of algebra 2 parabola worksheet.
