Question

determine the amplitude, period, any vertical translation, and any phase shift of the given graph. y = - 3 cos(x - \frac{pi}{6}) the amplitude is

Explanation:

Step1: Recall amplitude formula

For a cosine function of the form $y = A\cos(Bx - C)+D$, the amplitude is given by $|A|$.

Step2: Identify A value

In the function $y=-3\cos(x - \frac{\pi}{6})$, $A=-3$.

Step3: Calculate amplitude

$|A| = |-3|=3$.

Answer:

3