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Consider the quadratic function .

  1. Without drawing a graph, determine the coordinates of the vertex and state whether the vertex represents the maximum or minimum value of the function.

    The vertex is the point where

    The vertex is a maximum when the parabola opens downward and a minimum when the parabola opens upwards.

  2. Sketch the graph and verify your answer to part (a).

    A downward parabola with vertex at (2, comma 6) and going through the points (0, comma negative 2) and (4, comma negative 2).