Write the Coordinates of the Vertex and Determine If the Vertex

Multiple Choice

Write the coordinates of the vertex and determine if the vertex is a maximum point or a minimum point. $$g ( x ) = - 4 ( x - 3 ) ^ { 2 } + 12$$

A) (3, 12) ; minimum
B) (-3, 12) ; maximum
C) (3, 12) ; maximum
D) (12, 3) ; minimum