which statement accurately describes how adding a number, n, to the function (f(x)=sin(x)) affects its…

which statement accurately describes how adding a number, n, to the function (f(x)=sin(x)) affects its graph?\nthere is a vertical shift of n units.\nthe x - intercepts will shift n units.\nthere is a change in amplitude of n units.\nthe range will change by a factor of 2n units.

which statement accurately describes how adding a number, n, to the function (f(x)=sin(x)) affects its graph?\nthere is a vertical shift of n units.\nthe x - intercepts will shift n units.\nthere is a change in amplitude of n units.\nthe range will change by a factor of 2n units.

Answer

Brief Explanations:

For a function (y = f(x)+n), it represents a vertical shift of the graph of (y = f(x)). When we add (n) to (y=\sin(x)) to get (y = \sin(x)+n), every (y -)value of the original sine - function is increased by (n). The (x -)intercepts do not necessarily shift by (n) units, the amplitude of (y=\sin(x)) is 1 and adding (n) does not change the amplitude, and the range of (y = \sin(x)) is ([- 1,1]) and adding (n) changes the range to ([-1 + n,1 + n]) which is a vertical shift, not a change by a factor of (2n).

Answer:

There is a vertical shift of (n) units.