Model the Curve with a Sine Function $P = \frac { 1 } { 5 }$

Multiple Choice

Model the curve with a sine function.

Note that the period of the curve is $P = \frac { 1 } { 5 }$ and its range is $[ - 2.2,2.2 ]$ and the graph of the sine function is shifted to the left 0.55 units.

A) $f ( x ) = 2.2 \sin ( 10 \pi ( x + 0.55 ) )$
B) $f ( x ) = 2.2 \sin ( 10 \pi ( x - 0.55 ) )$
C) $f ( x ) = 2.2 \sin ( 10 \pi x + 0.55 )$
D) $f ( x ) = 2.2 \sin ( 10 \pi ( 2 x + 0.55 ) )$
E) $f ( x ) = 4.4 \sin ( 5 \pi ( x + 0.55 ) )$