Question

How do you write an equation as a sine function with four parameters—A, B, C, and D where A represents the amplitude, B affects the period of the function, C determines the horizontal shift (phase shift), and D represents the vertical shift? (1 point)

y=Asin(B(x−C)+D)


y=Asin[B(x−C)]+D


y=Asin(Bx−C)+D


y=Bsin[A(x−C)]+D

Answer 1

y = A sin[B(x − C)] + D

Reason: A multiplies the sine (amplitude = |A|), B changes the period (period = 2π/B), C is the horizontal (phase) shift to the right by C, and D is the vertical shift.