If the function \( G(x) = (x - 8)^2 + 6 \) has the same shape as \( F(x) = x^2 + 6 \), how far to the right of \( F(x) \) is \( G(x) \) shifted?
Answer (2)
G ( x ) = ( x − 8 ) 2 + 6 an d F ( x ) = x 2 + 6 A n s . G ( x ) i s s hi f t e d 8 u ni t s r i g h t t o t h e F ( x )
The function G ( x ) = ( x − 8 ) 2 + 6 is shifted 8 units to the right of F ( x ) = x 2 + 6 . This shift is due to the transformation involving ( x − 8 ) in G ( x ) . Thus, the final answer is 8 units right shift.
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