For the function g(x) = f(x)-8, how does the value of -8 relate the graphs of f(x) and g(x)?
A. The graph of g(x) is a translation of f(x) shifted 8 units to the left.
B. The graph of g(x) is a translation of f(x) shifted 8 units to the right.
c. The graph of g(x) is a translation of f(x) shifted 8 units down.
d. The graph of g(x) is a translation of f( x) shifted 8 units up.
C. The graph of g(x) is a translation of f(x) shifted 8 units down.
The correct answer is C. The graph of g(x) is a translation of f(x) shifted 8 units down.
When we subtract 8 from the function f(x) to get g(x) = f(x) - 8, we are subtracting a constant value from the output of the function. This means that for every value of x, the corresponding y-value will be 8 units smaller than the y-value in the graph of f(x).
Therefore, this translates the graph of f(x) down by 8 units, resulting in the graph of g(x).