Answer:
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 [tex]\frac{2\pi }{B}[/tex]
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[tex]\pi[/tex]
Phase (Horizonal) shift is [tex]\pi[/tex]
Vertical shift is 3
The three transformations used are -
Vertical shift
Phase shift
Period
