Begin with the graph of $f(x)=\ln x$ and use transformations to sketch the graph of the given function. \[ g(x)=\ln (x+2) \]

Step 1 ：The function \(g(x)\) is a transformation of the function \(f(x)\), where \(f(x) = \ln x\).

Step 2 ：The transformation is a horizontal shift of the graph of \(f(x)\) to the left by 2 units.

Step 3 ：This is because the function \(g(x)\) can be rewritten as \(g(x) = \ln (x - (-2))\), which indicates a shift of the graph of \(f(x)\) to the left by 2 units.

Step 4 ：So, to sketch the graph of \(g(x)\), we start with the graph of \(f(x)\), and then shift every point on the graph of \(f(x)\) 2 units to the left.

Step 5 ：This results in the graph of \(g(x)\), which is the same as the graph of \(f(x)\), but shifted 2 units to the left.