Consider the quadratic function $f(x) = -2(x - 2)^2 + 6$.

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.

   Hint (a):

   The vertex is the point where $-2(x - 2)^2 = 0$

   More Help (a):

   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).

   Answer (b):