Question

?? Honestly so confused

Answer 1

`f\left(x\right)=\left(x-1\right)^(2)+3`

Explanation:

The equation for thr function f(x) is
`f(x)=\left(x-1\right)^(2)` . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be
`f\left(x\right)=\left(x-1\right)^(2)+3` .

Hope this helps! :)