Write the equation of a sine function that has the following characteristics.Amplitude: 4, Period: 7 π Phase shift: − 1 3 Type the appropriate values to complete the sine function. y = 4 sin ⁡ ( ? x + ? )(Use integers or fractions for any numbers in the expression. Simplify your answers.)

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Write the equation of a sine function that has the following characteristics.Amplitude: 4, Period:   7  π Phase shift:   −      1    3  Type the appropriate values to complete the sine function.  y  =  4  sin  ⁡  (  ?  x  +  ?  )(Use integers or fractions for any numbers in the expression. Simplify your answers.)

salumeqi · Accepted Answer

Step 1Write the equation of a sin function that has the following characteristics.Amplitude   =  4  −  −  −  (  1  )Period   =  7  π  −  −  −  −  (  2  )Phase shift   =  −      1    3    −  −  −  (  3  )Since function is  y  =  A  sin  ⁡  (  w  x  −  α  )A is AmplitudeBy FormulaPeriod   =            2                        ⧸                            π              w    =  7            ⧸            π   from eq (2)Step 2  ⇒  w  =      2    7    −  (  4  )Phase shift   =  −      α    w  from eq (3)  −      1    2    =  −      α    w  Step 3from eq (4) put w value      1    3    =      α          2      7        ⇒  3  α  =      2    7    ⇒  α  =      2    21  The appropriate values of complat the sine function  y  =  4  sin  ⁡      2    7    x  +      2    21

Write the equation of a sine function that has the following characteristics. Amplitude: 4. Period: 7pi. Phase shift: -1/3

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