Determine the amplitude or period as requested.
Graph Variations of y = cos x
-Period of $y = - 4 \cos ( 6 \pi x + 3 \pi )$
A) $\frac { 1 } { 3 }$
B) $\frac { \pi } { 3 }$
C) 3
D) $6 \pi$

Question

Quizplus · Accepted Answer

The period of a cosine function in the form $y = a \cos(bx + c)$ is given by $\frac{2\pi}{|b|}$. For $y = -4 \cos(6\pi x + 3\pi)$, $b = 6\pi$, so the period is $\frac{2\pi}{6\pi} = \frac{1}{3}$.

Determine the Amplitude or Period as Requested y=−4cos⁡(6πx+3π)y = - 4 \cos ( 6 \pi x + 3 \pi )y=−4cos(6πx+3π)

Determine the Amplitude or Period as Requested $y = - 4 \cos ( 6 \pi x + 3 \pi )$