What is the equation of a sine function with an amplitude of 2 and a period of 4 pi ?
Answer
A
y is equal to 2 sine open paren 4 pi x close paren
B
y is equal to 2 sine open paren 1 half x close paren
C
y is equal to 1 half sine open paren 4 pi x close paren
D
y is equal to 1 half sine 2 x
Explanation
For y = A sin(Bx), the amplitude is |A|, so the coefficient must be 2. The period is 2π/|B|; setting it equal to 4π gives |B| = 1/2. Thus y = 2 sin(1/2 x), choice B.
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