Describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts.
?
f(x) = cos x
g(x) = cos (5x? - 3)
A. The period of g(x) is five times the period of f(x).Graph of g(x) is shifted upward 3 unit(s) relative to the graph of f(x).
B. The amplitude of g(x) is five times the amplitude of f(x).Graph of g(x) is shifted downward 3 unit(s) relative to the graph of f(x).
C. The amplitude of g(x) is five times the amplitude of f(x).Graph of g(x) is shifted upward 3 unit(s) relative to the graph of f(x).
D. The period of g(x) is three times the period of f(x).Graph of g(x) is shifted downward 5 unit(s) relative to the graph of f(x).
E. The period of f(x) is five times the period of g(x).Graph of g(x) is shifted downward 3 unit(s) relative to the graph of f(x).
Answer: E
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