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Likurg_2 [28]
3 years ago
6

Which transformations are needed to change the parent sine function to y = one-fourth sine (4 (x + StartFraction pi Over 6 EndFr

action))? vertical stretch of One-fourth, horizontal stretch to a period of 2p, phase shift of StartFraction pi Over 6 EndFraction units to the left vertical compression of One-fourth, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of StartFraction pi Over 6 EndFraction units to the left vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of StartFraction pi Over 6 EndFraction units to the right vertical compression of 4, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 6 EndFraction units to the right
Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

Transformation needed are;

Vertical compression of 1/4,

horizontal compression to a period of pi/2,

phase shift of pi/6 units to the left.

Step-by-step explanation:

The formula for the general Sine function is given by;

where

if A >1, Vertical stretch and

if 0<A<1, Vertical compression

Period is  

Phase shift is C (Positive is to left)

Vertical shift is D.

Given the function:

here, , B = 4 ,  and D = 0

Therefore, transformation are needed on sine function to get  

Vertical  compression of  

Horizontal stretch to a period =  

Phase shift =  units to left.

Step-by-step explanation:

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