Question

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

Answer 1

The answer is A. Trust me.

Step-by-step explanation:

i just took the test

Answer 2

Step-by-step explanation:

Here we have the following function:

`f (x) = sin (x)`

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

Well, there are two ways:

First case. Horizontal shifting.

`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`

Second case. Vertical shifting.

`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`