Question

what is the amplitude of $j(x) = -\frac{2}{7}cos x$? enter your answer in simplest fraction form, if applicable. (1 point)

Explanation:

Step1: Recall Amplitude Formula

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

Step2: Identify A in Given Function

In the function \( j(x) = -\frac{2}{7}\cos x \), we can see that \( A = -\frac{2}{7} \).

Step3: Calculate Amplitude

Using the amplitude formula, we take the absolute value of \( A \). So, \( |-\frac{2}{7}| = \frac{2}{7} \).

Answer:

\(\frac{2}{7}\)