Respuesta :

Answer:

We have been given a function and its graph.

[tex]y=4 sin(3t)+2[/tex]

The first point  should be midline  of the given function

We can see the coordinate of the midline which  is (-3.14,2) will be the first point.

And second point should be maximum or minimum.

So, there is minimum according to the graph.

The minimum point will be at when [tex]sin3t=-1[/tex]

[tex]3t=sin^{-1}(-1)[/tex]

[tex]\Rightarrow 3t=-sin^{-1}(1)[/tex]

[tex]\Rightarrow 3t=-\frac{\pi}{2}[/tex]

[tex]\Rightarrow t=-\frac{\pi}{6}[/tex]

[tex]\frac{\pi}{6}=-\frac{1.57}{3}[/tex]

So, the minimum point is:[tex](-\frac{1.57}{3},-2)[/tex]