Question

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Explanation:

Part b:

Step1: Recall vertex property

The vertex of a quadratic function lies on the axis of symmetry. The axis of symmetry is \( x = 1 \) (from part a). So we need to find the point with \( x = 1 \) from the given points.

Step2: Identify the point

Among the points \((2, -1)\), \((-2, 7)\), \((1, -2)\), \((0, -1)\), and \((4, 7)\), the point with \( x = 1 \) is \((1, -2)\). This point is the vertex since it lies on the axis of symmetry.

Answer:

\((1, -2)\)