Question

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

A. There is a vertical shift of n units.
B.The x-intercepts will shift n units.
C. There is a change in amplitude of n units.
D. The range will change by a factor of 2n units.

Answer 1

A

Explanation:

A on edge

Answer 2

The correct answer is:

A) There is a vertical shift of n units.

Explanation:

When a parent function is transformed, each type of transformation results ina different change in the graph.

The parent function in this question is f(x) = sin(x).

Adding n units to the end of this function would result in f(x) = sin(x) + n.

When a function is transformed by adding a constant to the end of a function results in a vertical shift by that number of units. In this case, it would be a vertical shift n units.