Subtracting a constant value of 8 from the function f(x) shifts the entire graph of f(x) down by 8 units. This means that every point on the graph of g(x) will be 8 units below the corresponding point on the graph of f(x). So, the graph of g(x) will be identical to the graph of f(x), but shifted downward by 8 units. This can be visually represented as a parallel shift of the graph of f(x).
The value of -8 in the function g(x) = f(x) - 8 represents a vertical shift downward by 8 units of the graph of f(x). In other words, every point on the graph of f(x) is lowered by 8 units to create the graph of g(x).
