Determine the equation of \( g(x) \) that results from translating the function \( f(x) = (x + 4)^2 \) to the right 11 units.

f ( x ) = ( x + 4 ) 2 r i g h t 11 u ni t s t h e n g ( x ) = f ( x − 11 ) = ( x − 11 + 4 ) 2 = ( x − 7 ) 2

Answered by Anonymous | 2024-06-10

The equation of the function g ( x ) , after translating f ( x ) = ( x + 4 ) 2 to the right by 11 units, is g ( x ) = ( x − 7 ) 2 . This results from substituting x in the original function with ( x − 11 ) . Therefore, the graph shifts the vertex from (-4,0) to (-7,0).
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Answered by Anonymous | 2024-12-20