Function f in blue is a parabola as $y=x^2$. Function g in red can be thought of as a translated (shifted) version of f(x)=x^2. Write the equation for g(x).

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Function f in blue is a parabola as $y=x^2$. Function g in red can be thought of as a translated (shifted) version of f(x)=x^2. Write the equation for g(x).

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Function f in blue is a parabola as $y=x^2$. Function g in red can be thought of as a translated (shifted) version of f(x)=x^2. Write the equation for g(x).
