ANSWER:
g (x) = 8(x - 1)² + 8
STEP-BY-STEP EXPLANATION:
We have that the equation of the parabola with a center different from the origin is the following:
[tex]\begin{gathered} y=(x-h)^2+k \\ \\ \text{ where \lparen h, k\rparen is the vertex } \end{gathered}[/tex]In this case, (h,k) is equal to (1, 8), therefore:
[tex]g(x)=8\left(x-1\right)^2+8[/tex]