Respuesta :

Given:

Required:

To write an equation of the graph.

Explanation:

The standard equation is given in the form of as:

[tex]y=acosbx+c[/tex]

Where a = amplitude

c = displacement

and

[tex]b=\frac{2\pi}{period}[/tex]

From the graph, we can observe that

a = 5

Period =

[tex]2\pi[/tex]

c =6

[tex]\begin{gathered} b=\frac{2\pi}{2\pi} \\ b=1 \end{gathered}[/tex]

Substitute these values in the equation.

[tex]y=5cos(1)x+6[/tex]

Final answer:

The equation becomes:

[tex]y=5cosx+6[/tex]

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