If $f\left(x\right)=x^2$ and $g\left(x\right)$ is the translation of $f\left(x\right)$ right by 3 units and up by 2 units, which equation represents $g\left(x\right)$?

Written below (green dotted curve) is a graph of the function $f\(\left\)(x\(\right\))=\(\sqrt{x-2}\)$.If g(x) (blue solid curve) is a reflection of f(x) about the y-axis what is the equation for g(x)?

The green dotted line in the graph below represents the function $f\(\left\)(x\(\right\))$. The blue solid line represents the function $g\(\left\)(x\(\right\))$, which is the function $f\(\left\)(x\(\right\))$after it has gone through a shift transformation. Find the equation for $g\(\left\)(x\(\right\))$.

The green dotted curve below is a graph of the function $f\(\left\)(x\(\right\))$. Find the domain and range of $g\(\left\)(x\(\right\))$(the blue solid curve), which is a transformation of $f\(\left\)(x\(\right\))$.