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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

Respuesta :

xero099

Answer:

1. There is a vertical shift.

Step-by-step explanation:

The component +60 translates the original function in the [tex]+y[/tex] direction. The operation is described by following formula:

[tex]f'(x) = f(x) + k[/tex] (1)

Where:

[tex]f(x)[/tex] - Original function.

[tex]f'(x)[/tex] - Resulting function.

[tex]k[/tex] - Vertical translation distance.

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

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