How do you graph and list the amplitude, period, phase shift for y=-2sinx?

Jun 21, 2018

$\text{amplitude} = 2$
$\text{period} = 2 \pi$
$\text{phase shift} = 0$

Explanation:

This sinusoidal function can be written as

$y = a \sin \left(c \left(x - d\right)\right)$

where
$| a |$ is the amplitude ($A$)
$\frac{2 \pi}{c}$ is the period ($T$)
$d$ is the phase shift.

In this case:
$A = | - 2 | = 2$
$T = \frac{2 \pi}{1} = 2 \pi$
$\text{phase shift} = 0$