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

question 53

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) \(g ( x ) = ( x - 3 ) ^ { 2 } + 5\)