What is the effect on the graph of $f\left(x\right)=|3x-4|$ when it is replaced by $f\left(x\right)+3$?

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\(\right\))$.