Determine the Period P,the Amplitude B,the Phase Shift D,and the Vertical

Multiple Choice

Determine the period p,the amplitude b,the phase shift d,and the vertical shift a of the given trigonometric function f(t) . $f ( t ) = 2 + 5 \cos \left[ \frac { \pi } { 3 } ( t + 1 ) \right]$

A) $p = 3 , b = - 5 , d = 1 , a = 2$
B) $p = 6 , b = 5 , d = - 1 , a = 2$
C) $p = 3 , b = 5 , d = 1 , a = 2$
D) $p = 6 , b = - 5 , d = 1 , a = 2$