Write an Equation for the Function That Is Described by the Following

Multiple Choice

Write an equation for the function that is described by the following characteristics. The shape of $f ( x ) = x ^ { 2 }$ , but moved five units down, four units to the left, and then reflected in the x-axis.

A) $g ( x ) = 4 - ( x + 5 ) ^ { 2 }$
B) $g ( x ) = - ( x + 4 ) ^ { 2 } - 5$
C) $g ( x ) = 5 - ( x + 4 ) ^ { 2 }$
D) $g ( x ) = - ( x + 5 ) ^ { 2 } - 4$
E) $g ( x ) = 5 - ( x - 4 ) ^ { 2 }$