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

User BananZ
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2 Answers

5 votes

Answer:

The answer is A. Trust me.

Step-by-step explanation:

i just took the test

User Hallodom
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4 votes

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

User Rajeev Kumar
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