Question

I need help pls 1. Is this graph sine or cosine 2. What’s the amplitude of graph 3. What’s the equation of the midline 4. Whats the period of the function Whats the equation of the function Whats the domain and range?

Answer 1

As per given by the question,

There are given that a graph.

Now,

1. The given graph is cosine graph.

2. The aplitute of the given graph is,

From the graph, it is lie between -2 to 2.

So,

The amplitude of the given graph is 2.

Now,

3. The equation of the midline is,

`y=-2`

Now,

4.The period of the fumction is,

`P=(2\pi)/(3)`

Now,

The equation of the function.

First the general form of cosine graph function is,

`y=A\cos (bx+c)+d`

Then,

`y=2\cos (3x+c)+d`

Now,

`y=2\cos (3x-1)+3`

Where, D is vertical shift.

Hence, the equation of the function is,

`y=2\cos (3x-1)+3`