Question

A cosine curve with a period of π, an amplitude of 1, a left phase shift of π, and a vertical translation down 3/2 units.

Answer 1

Step 1 :

The vertical translation form of the cosine function with left phase shift is .

Where , amplitude, period .

Here,

Amplitude  ,

Period

.

Phase shift .

Vertical translation down wards.

So, .

Step 2 :

Substitute the corresponding values in .

Solution :

Required cosine function is