Question

determine the amplitude and period of $-\cos(5x)$ shown in this graph:

leave your answers in exact form; if necessary, type pi for $\pi$.

amplitude =

period =

Explanation:

Step1: Recall Amplitude Formula

For a function \( y = A\cos(Bx) \), amplitude is \( |A| \). Here, \( A = -1 \), so amplitude \( = | -1 | = 1 \).

Step2: Recall Period Formula

For \( y = A\cos(Bx) \), period is \( \frac{2\pi}{|B|} \). Here, \( B = 5 \), so period \( = \frac{2\pi}{5} \).

Answer:

amplitude = \( 1 \)
period = \( \frac{2\pi}{5} \)