Question

graph the following function over the interval $-2\pi,2\pi$. give the amplitude.
$y=-5\cos x$
which of the following is the correct graph of the function $y=-5\cos x$?
what is the amplitude of the function $y=-5\cos x$?
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall the formula for the amplitude of a cosine function

For a function \(y = A\cos(x)\), the amplitude is \(|A|\).

Step2: Identify \(A\) in the given function

In the function \(y=-5\cos(x)\), \(A = - 5\).

Step3: Calculate the amplitude

The amplitude is \(|A|=|-5| = 5\).

Answer:

The amplitude is \(5\).