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Which statement accurately describes how adding a number, n, to the function f (x) = sine (x) affects its graph?

Answer :

Explanation:

Here we have the following function:

[tex]f (x) = sin (x)[/tex]

And we are asked how adding a number, n, to the function affects its graph?

Well, there are two ways:

First case. Horizontal shifting.

[tex]f (x) = sin(x+n) \\ \\ \\ \bullet \ If \ n>0 \ then \ the \ graph \ is \ shifted \ n \ units \ to \ the \ left \\ \\ \bullet \ If \ n<0 \ then \ the \ graph \ is \ shifted \ n \ units \ to \ the \ right[/tex]

Second case. Vertical shifting.

[tex]f (x) = sin(x)+n \\ \\ \\ \bullet \ If \ n>0 \ then \ the \ graph \ is \ shifted \ n \ units \ up \\ \\ \bullet \ If \ n<0 \ then \ the \ graph \ is \ shifted \ n \ units \ down[/tex]

Answer:

The answer is A. Trust me.

Step-by-step explanation:

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