Find the specified quantity.
-Find the amplitude of $y = - 2 \sin \left( 4 x + \frac { \pi } { 2 } \right)$.
A) $\frac { \pi } { 2 }$
B) 2
C) 4
D) $- 8$

Question

Quizplus · Accepted Answer

The amplitude of a trigonometric function like $y = A \sin(Bx + C)$ or $y = A \cos(Bx + C)$ is given by the absolute value of the coefficient $A$. In this case, $A = -2$, so the amplitude is $|-2| = 2$.

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

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