Identify the Transformations of the Graph Of $f ( x ) = x ^ { 2 }$

Multiple Choice

Identify the transformations of the graph of $f ( x ) = x ^ { 2 }$ that would produce the graph of $h ( x ) = - ( x + 3 ) ^ { 2 } + 4$ .

A) horizontal shift 3 units left; vertical shift 4 units upward
B) horizontal shift 3 units right; reflection in the x -axis; vertical shift 4 units downward
C) horizontal shift 4 units right; vertical shift 3 units downward
D) horizontal shift 4 units left; reflection in the x -axis; vertical shift 3 units upward
E) horizontal shift 3 units left; reflection in the x -axis; vertical shift 4 units upward