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

Multiple Choice

Write an equation for the function that is described by the given characteristic.
The shape of $f ( x ) = x ^ { 2 }$ , but shifted three units to the right and five units downward.

A) $g ( x ) = ( x - 3 ) ^ { 2 } - 5$
B) $g ( x ) = \left( x ^ { 2 } - 3 \right) - 5$
C) $g ( x ) = ( x + 3 ) ^ { 2 } - 5$
D) $g ( x ) = ( x + 3 ) ^ { 2 } + 5$
E) $g ( x ) = ( x - 3 ) ^ { 2 } + 5$