Find the specified quantity.
-Find the vertical translation of $y = - 2 + 2 \sin \left( 3 x + \frac { \pi } { 6 } \right)$.
A) $u p \frac { 1 } { 6 }$
B) $\operatorname { up } \frac { \pi } { 6 }$
C) up 6
D) down 2

Question

Quizplus · Accepted Answer

The vertical translation of the function $y = - 2 + 2 \sin \left( 3 x + \frac { \pi } { 6 } \right)$ is determined by the constant term outside the trigonometric function, which is -2. This indicates the graph is translated 2 units downward.

Find the Specified Quantity y=−2+2sin⁡(3x+π6)y = - 2 + 2 \sin \left( 3 x + \frac { \pi } { 6 } \right)y=−2+2sin(3x+6π​)

Find the Specified Quantity $y = - 2 + 2 \sin \left( 3 x + \frac { \pi } { 6 } \right)$