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what is the vertex? (4,2) (0,8) (2,4) (3,-1)

Question

what is the vertex? (4,2) (0,8) (2,4) (3,-1)

Explanation:

Step1: Recall the definition of vertex

The vertex of a parabola is the point where the parabola changes direction. It is either the maximum or minimum point of the parabola.

Step2: Identify the vertex from the given points

Looking at the points \((4,2)\), \((0,8)\), \((2,4)\), \((3, - 1)\), and considering the nature of a parabola's vertex (it is a critical point in the graph), we note that the vertex is the point \((0,8)\) as it is the highest point among the given points (assuming the parabola opens downwards as per the general shape in the graph).

Answer:

\((0,8)\)