Solve the Problem $f ( x ) = a \sin ( b ( x - c ) ) + d$

Multiple Choice

Solve the problem.
-Suppose that the average monthly low temperatures for a small town are shown in the table.


Model this data using $f ( x ) = a \sin ( b ( x - c ) ) + d$ .

A) $f ( x ) = 23 \sin \left( \frac { \pi } { 6 } ( x - 7 ) \right) + 42$
B) $f ( x ) = 23 \sin \left( \frac { \pi } { 12 } ( x - 4 ) \right) + 42$
C) $f ( x ) = 23 \sin \left( \frac { \pi } { 6 } ( x - 4 ) \right) + 42$
D) $f ( x ) = 42 \sin \left( \frac { \pi } { 6 } ( x - 4 ) \right) + 23$