Answer
3)shifted right 7 units
Explanation
Remember the translation rules:
\(f(x)+b\) shifts the function b units upward
\(f(x)-b\) shifts the function b units upward
\(f(x+b)\) shifts the function b units to the left
\(f(x-b)\) shifts the function b units to the right
From the vertex form: \(g(x)=2(x-7)^2-92\),of our function, we can infer that:
The parent function \(f(x)\) has been shifted 7 units to the right (look at the term \((x-7)^2\)) and 91 units upward.
So we can conclude that the correct option is: 3)shifted right 7 units
