Question

Work with your team to write equations for each of the following functions. For each function, write one equation using sine and one equation using cosine. There are multiple correct equations for each graph. Try to write four different equations, one for each of the situations outlined in problem 2-96. (I have 2-96 already)

Answer 1

Function a)

Maximum = 2 , Minimum = -2

Amplitude= 4/2= 2

y = A• Cos ( ? )

When x= 2/3π y = 0

π/2 - 2/3π = π•(1/2 - 2/3)

Then

y= A• Cos ( X - π/6 )

y= 2• Cos (X - π/6 )

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Function b

Maximum = 4, Minimum= 2

Amplitude A= 2/2= 1

y= A• Sin (?)

When x= -π/3,. y = 2

Then

y = A• Sin( X + π/3 ) + 2

y = Sin (X + π/3 ) + 2