We can observe that f(x) is a parent function and g(x) is transformation of f(x).
Specifically, the applied transformations are:
• A vertical shift 4 units downside.
,
• A horizontal shift of 2 units left side.
The image below shows the functions
As you can observe, the blue function g(x) was shifted two units left and 4 units down.
Additionally, the functions intercept at (-0.631, 0.5).