Find the specified quantity.
-Find the vertical translation of $y = - 4 + 3 \sin \left( 4 x + \frac { \pi } { 6 } \right)$.
A) up 6
B) $\operatorname { up } \frac { 1 } { 6 }$
C) down 4
D) up $\frac { \pi } { 6 }$

Question

Quizplus · Accepted Answer

The vertical translation of the given function is determined by the constant term outside the trigonometric function. In this case, the constant term is -4, which means the graph is translated 4 units down.

Find the Specified Quantity y=−4+3sin⁡(4x+π6)y = - 4 + 3 \sin \left( 4 x + \frac { \pi } { 6 } \right)y=−4+3sin(4x+6π​)

Find the Specified Quantity $y = - 4 + 3 \sin \left( 4 x + \frac { \pi } { 6 } \right)$