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

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:

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.