In the function, f(x) = 3 − sin(x + π), three transformations have been applied. Briefly describe the three transformations.

The three transformations used are -

Vertical shift

Phase shift

Period

Step-by-step explanation:

Given - Given the function, f(x) = 3 − sin(x + π)

To find - In the function, three transformations have been applied. Briefly describe the three transformations.

Proof -

Given that, The function is f(x) = 3 − sin(x + π)

We know the

The general form of sine function is -

y = Asin(Bx + C) + D

where

A is the Amplitude

The period is

Phase (Horizontal) shift is C

Vertical Shift id D

Here, The function is f(x) = 3 − sin(x + π)

By Comparing with General form of sin function, we get

-1 is the Amplitude

The period is 2

Phase (Horizonal) shift is

Vertical shift is 3

The three transformations used are -

Vertical shift

Phase shift

Period

c: lkllmn.

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2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.