Determine the amount of horizontal shift for the graph of y

Determine the amount of horizontal shift for the graph of y = 2 sin (4x + ), from the standard graph of y = sin x.

Solution

y = 2 sin ( 4x + pi )

from sinusoidal equation

y = A sin ( B(x-C))

horizontal shift is C

on comparing the two equations

y = 2 sin (4 ( x + pi/4))

C here is pi/4

horizontal shift is pi/4 to left