For the function g(x) = f(x)-8, how does the value of -8 relate the graphs of f(x) and g(x)?
1 answer
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).