The Graph of a Quadratic Function Is Given $g ( x ) = - x ^ { 2 } + 4 x + 4$

Multiple Choice

The graph of a quadratic function is given. Determine the function's equation.
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A) $g ( x ) = - x ^ { 2 } + 4 x + 4$
B) $h ( x ) = - x ^ { 2 } - 2$
C) $j ( x ) = - x ^ { 2 } + 2$
D) $f ( x ) = - x ^ { 2 } - 4 x - 4$