Answer: 0
Step-by-step explanation:
2pi/4 does not equal pi, it equals half of pi. 2pi/2 equals pi. Regardless here's my answer, since it also checks out for a similar function that was confirmed to have a phase shift of pi/2:
The formula for this is asin(bx - c) + d, where
|a| = amplitude
period = 2pi/b
and phase shift = c/b
The amplitude is 3
3sin(bx - c) + d
Phase shift is c/b, in this case, pi/4
3sin(4x - pi) + d
d is vertical shift
(phase shift, c, is also known as horizontal shift)
We don't see any d here so graph on Desmos as follows....
Graph 3sin(4x - pi)
Looks like the y-intercept is 0
Check by substituting 0 for x:
3sin(4x - pi)
3sin(4(0) - pi)
3sin(-pi) = 0
The answer is 0, checks out.