Respuesta :
Answer:
[tex]y=cos(x + \pi)[/tex]
Step-by-step explanation:
Remember that the cosine function has a period of 2π.
Now, the parental function is [tex]y=cosx[/tex], which has y-intercept at y = 1, and x-intercept at π/2.
Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.
Therefore, the function that belongs to this graph is
[tex]y=cos(x + \pi)[/tex]
The equation of the given graph is; y = cosine (x + pi)
Equation of cosine graphs
By convention, the cosine function like most other trigonometric functions has a period of 2π.
Since, the parental function is y = cos x, which has y-intercept at y = 1, and x-intercept at π/2.
From observation, the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2.
This can be interpreted to mean that the function has been translated leftwards π units.
Ultimately, the function that belongs to this graph is; y = cosine (x + pi)
Read more on cosine graphs;
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