Question

Describe how the graphs of functions f and g are related: f (x) = 2cos(pi x) g(x) = 2cos(2pi x)

Answer 1

f and g have the same amplitude: 2

f and g have the same trajectory: cosine function

But, g has half of the frequency of f

Answer 2

Same amplitude: 2,

but the period is half in the second case. Period of the first one is 2, in the second one is 1, so it will oscillate twice as many times than the first one, but it will go from -2 to 2, both of them

Hope it helps