Find the specified quantity.
-Find the period of $y = 2 \sin \left( \frac { 1 } { 4 } x - \frac { \pi } { 2 } \right)$.
A) $4 \pi$
B) $2 \pi$
C) $\frac { \pi } { 2 }$
D) $8 \pi$

Question

Quizplus · Accepted Answer

The period of a sine function $y = a \sin(bx - c)$ is given by $\frac{2\pi}{|b|}$. Here, $b = \frac{1}{4}$, so the period is $\frac{2\pi}{\frac{1}{4}} = 8\pi$.

Find the Specified Quantity y=2sin⁡(14x−π2)y = 2 \sin \left( \frac { 1 } { 4 } x - \frac { \pi } { 2 } \right)y=2sin(41​x−2π​)

Find the Specified Quantity $y = 2 \sin \left( \frac { 1 } { 4 } x - \frac { \pi } { 2 } \right)$