Describe the relationship between the graphs of fand g Consi

Describe the relationship between the graphs of fand g. Consider amplitude, period, and shifts. o The graph of g is a reflection of the graph of fover the x-axis O The graph of g is a vertical shift of the graph of f upwards by 1 unit. O The period of g is 1 times the period off. O The amplitude of g is 1 times the amplitude of f. O The graphs of f and g differ only in their phase shift.

Solution

1. Amplitude of both is 1

2. Period of both is 4*pi units

But they have a phase shift.

If the graph of g(x) is shifted \"pi\" units towards right, it will overlap with f(x).

Hence, f and g have a phase shift of \"pi\" units.

Option E is right i.e., last option.