# How do you write the equation of the cosine function with an amplitude of 1, a period of 3pi/7, a phase shift of -pi/5, and a vertical shift of 2 units down?

Jul 11, 2015

Write cosine function

#### Explanation:

$y = \cos \left(\frac{14 x}{3} - \frac{\pi}{5}\right) - 2$

Amplitude (-1, 1)

Period --> $\frac{3 \left(2 \pi\right)}{14} = \frac{6 \pi}{14} = \frac{3 \pi}{7}$

Phase shift: $\frac{- \pi}{5}$

Vertical shift: - 2