How do you graph  y=2/3sin4(x-5)?

Aug 5, 2018

$\text{Amplitude} = \frac{2}{3}$

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

Explanation:

Standard form of sine function is $y = A \sin \left(B x - C\right) + D$

Given $y = \frac{2}{3} \sin \left(4 x - 20\right)$

$A = \frac{2}{3} , B = 4 , C = 20 , D = 0$

$\text{Amplitude} = | A | = \frac{2}{3}$

$\text{Period} = \frac{2 \pi}{|} B | = \frac{2 \pi}{4} = = \frac{\pi}{2}$

$\text{Phase Shift} = - \frac{C}{B} = - \frac{20}{4} = - 5$, 5 to the LEFT.

$\text{Vertical Shift} = D = 0$

graph{2/3 sin(4x - 20) [-10, 10, -5, 5]}