Given the function $y=g\left(x\right)$, which transformation describes the graph of $y=g(3x+2_{})$?

The graph of $g\left(x\right)$ is compressed horizontally by a factor of $3$ and shifted $\frac{2}{3}$ $\text{units}$ to the right.

The graph of $g\left(x\right)$ is stretched horizontally by a factor of $3$ and shifted $\frac{2}{3}$ $\text{units}$ to the left.

The graph of $g\left(x\right)$ is stretched horizontally by a factor of $3$ and shifted $\frac{2}{3}$ $\(\text{units}\)$ to the right.

The graph of $g\left(x\right)$ is compressed horizontally by a factor of $3$ and shifted $\frac{2}{3}$ $\text{units}$ to the left.