# How do you find the amplitude, period, phase shift given y=-sin(5x+3)?

Mar 12, 2018

As below

#### Explanation:

Use the form $y = a \sin \left(b x - c\right) + d$ to find amplitude, period and phase shift.
Given $y = - \sin \left(5 x + 3\right)$

Amplitude $= a = 1$

Period $= \frac{2 \pi}{|} b | = \frac{2 \pi}{5}$

Phase shift $= \frac{- c}{b} = - \left(\frac{3}{5}\right)$, $\textcolor{w h i t e}{a a a} \left(\frac{3}{5}\right)$ to the left.

graph{-sin(5x+3) [-10, 10, -5, 5]}