# How do you graph and list the amplitude, period, phase shift for y=sin2x+3?

May 6, 2018

As below.

#### Explanation:

$y = A \sin \left(B x - C\right) + D \text{ for a sine function}$

$\text{Given : } y = \sin 2 x + 3$

$A m p l i t u \mathrm{de} = | A | = 1$

$\text{Period } = \frac{2 \pi}{|} B | = \frac{2 \pi}{2} = \pi$

$\text{Phase Shift } = - \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 3$

graph{sin(2x )+ 3 [-10, 10, -5, 5]}