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

1 Answer
Aug 5, 2018

"Amplitude" = 2/3

"Period" = pi/2

Explanation:

Standard form of sine function is y = A sin(Bx - C) + D

Given y = 2/3 sin(4x - 20)

A = 2/3, B = 4, C = 20, D = 0

"Amplitude" = |A| = 2/3

"Period" = (2pi) / |B| = (2pi)/4 = = pi/2

"Phase Shift" = -C / B = -20 / 4 = -5, 5 to the LEFT.

"Vertical Shift" = D = 0

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