Shift the Graph Of $f ( x ) = x ^ { 2 }$

Shift the graph of $f ( x ) = x ^ { 2 }$ by $6$ units to the left and then $4$ units downward, and choose the equation for the final transformed graph.

A) $f ( x ) = \left( x ^ { 2 } + 6 \right) - 4$
B) $f ( x ) = ( x + 6 ) ^ { 2 } - 4$
C) $f ( x ) = ( x + 4 ) ^ { 2 } + 6$
D) $f ( x ) = ( x - 6 ) ^ { 2 } - 4$
E) $f ( x ) = ( x - 4 ) ^ { 2 } + 6$

Correct Answer:

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