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

Question 47

Multiple Choice

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


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

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