Find the specified quantity.
-Find the vertical translation of $y = - 3 + 2 \sin \left( 4 x + \frac { \pi } { 2 } \right)$.
A) $\operatorname { up } \frac { 1 } { 2 }$
B) up 2
C) down 3
D) up $\frac { \pi } { 2 }$

Question

Quizplus · Accepted Answer

The vertical translation of the function is determined by the constant term outside the trigonometric function. In this case, the constant term is -3, which means the graph is translated 3 units down.

Find the Specified Quantity y=−3+2sin⁡(4x+π2)y = - 3 + 2 \sin \left( 4 x + \frac { \pi } { 2 } \right)y=−3+2sin(4x+2π​)

Find the Specified Quantity $y = - 3 + 2 \sin \left( 4 x + \frac { \pi } { 2 } \right)$