Question

Y = sin (x) + 60, What transformation does + 60 cause to the sine graph?

1. There is a vertical shift.

2. There is a change in the period of the function (Horizontal stretch).

3. There is a phase shift (Horizontal shift).

4. There is a change in amplitude (Vertical stretch).

what is the answer

Answer 1

1. There is a vertical shift.

Explanation:

The component +60 translates the original function in the
`+y` direction. The operation is described by following formula:

`f'(x) = f(x) + k` (1)

Where:

`f(x)` - Original function.

`f'(x)` - Resulting function.

`k` - Vertical translation distance.

Since resulting function is a consequence of a translation in
`+y` direction, then
`k>0`. Hence, correct answer is 1.