The graph shows F(x) = 4 cos x and the transformation g (x)
Explain the transformation from f (x) to g(x) and write the function rule for g (x)
To explain the transformation from f(x) to g(x), we need to analyze the effects of the transformation on the original function f(x) = 4 cos(x).
The graph of f(x) = 4 cos(x) is a standard cosine graph, where the amplitude is 4 and there is no vertical or horizontal shift. The period of the graph is 2π, which is the distance between consecutive peaks or troughs.
The function rule for g(x) will depend on the specific transformation being applied. Without any further information about g(x), we cannot determine the exact function rule.