The function g(x)=f(x)-8 Which of the following is true about the graph of g(x) A The graph of g(x) is shifted 8 units to the right of the graph of f(x) B The graph of g(x) is shifted 8 units to the left of the graph of f(x) The graph of g(x) is shifted 8 units below the graph of f(x) The graph of g(x) is shifted 8 units above the graph of f(x)

To determine the correct statement about the graph of \( g(x) = f(x) - 8 \), we need to understand how the transformation affects the graph of \( f(x) \).<br /><br />The function \( g(x) = f(x) - 8 \) means that for every \( x \), the value of \( g(x) \) is 8 units less than the value of \( f(x) \). This results in a vertical shift of the graph of \( f(x) \).<br /><br />Specifically, subtracting 8 from the function \( f(x) \) shifts the entire graph of \( f(x) \) downward by 8 units.<br /><br />Therefore, the correct statement is:<br />C. The graph of \( g(x) \) is shifted 8 units below the graph of \( f(x) \).