Model the Curve with a Sine Function $P = 32$ And Its Range Is

question 47

Multiple Choice

Model the curve with a sine function.
Note that the period of the curve is $P = 32$ and its range is $[ - 40,0 ]$ , the graph of the sine function is shifted to the right 7 units.

• A) \(f ( x ) = 20 \sin \left( \frac { \pi ( x + 7 ) } { 16 } \right) + 20\)
• B) \(f ( x ) = - 20 \sin \left( \frac { \pi ( x + 7 ) } { 16 } \right) + 20\)
• C) \(f ( x ) = 40 \sin \left( \frac { \pi ( x - 7 ) } { 16 } \right) - 40\)
• D) \(f ( x ) = 40 \sin \left( \frac { \pi ( x + 7 ) } { 16 } \right) - 40\)
• E) \(f ( x ) = 20 \sin \left( \frac { \pi ( x - 7 ) } { 16 } \right) - 20\)

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Definitions:

Expected Frequencies

The predicted counts of observations in each category of a statistical distribution based on a theoretical model.

Two-Tailed Test

A Two-Tailed Test is a statistical test in which the critical area of a distribution is two-sided and tests whether a sample is either greater than or less than a certain range of values.

Expected Frequencies

The counts that one would expect in a statistical distribution, based on a specific hypothesis or model.

Chi-Squared Test Statistic

A statistical measure used to determine the goodness of fit between observed values and values expected theoretically.