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

---

Definitions:

Philadelphia

A historic city in Pennsylvania, United States, notable for its role in the early history of the nation, including the signing of the Declaration of Independence and the U.S. Constitution.

British North America

Term historically used to refer to the British Empire's colonial territories in North America, including the Thirteen Colonies, Canada, and other possessions.

Cultural Center

A cultural center is a space or institution dedicated to promoting arts and culture, where individuals can engage with and explore various cultural activities, exhibitions, and educational programs.

English American Cities

Cities in the Americas that were founded or significantly influenced by British settlers or culture, reflecting English architectural, social, and governmental characteristics.