# How do you use transformation to graph the cosine function and determine the amplitude and period of #y=3cosx#?

##### 1 Answer

May 6, 2018

The amplitude is

#### Explanation:

The most general cosine-like function that you can have is

where:

#A# , as a multiplicative factor, affects the amplitude of the wave. The amplitude is exactly#A# .#omega# affects the period of the wave. The period is#(2pi)/omega# .#phi# is the shift of the wave. It affects the wave by horizontal translation.#b# is also a shift, but vertical.

If we want to have

it means that we have chosen