Graph the function [tex]y = \frac{1}{2}\sin(x - \frac{\pi}{4})[/tex].
Answer (2)
y = 2 1 s in ( x − 4 π ) y = 2 1 s in ( x ) ⇓ T a = [ 4 π ; 0 ] y = 2 1 s in ( x − 4 π )
The graph of the function y = 2 1 sin ( x − 4 π ) features an amplitude of 2 1 , a period of 2 π , and a phase shift of 4 π to the right. To graph it, plot key points, apply the vertical and horizontal transformations of the sine function, and connect the points smoothly. The resulting graph is a wave that oscillates within the bounds of − 2 1 and 2 1 .
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