Which table of ordered pairs represents a proportional relationship?
2 answers:
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Answer: C
Step-by-step explanation:
For this problem, we need to know the standard form of a sine function and the meaning of each part.
Standard form:
a=amplitude
b=period
h=phase shift
k=vertical replacement/shifting
Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with . We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period.
, therefore, b=1/2.
[plug in a=2]
[plug in b=1/2]
Therefore, C is the correct answer.