Write the equation of the trigonometric graph. Amplitude is 4, Midline is 0, Period is 8 pi. No phase or horizontal shifts. Find b.
The equation of the trigonometric graph with amplitude A, midline D, period B, phase shift C, and horizontal shift H is:
y = A*sin(B(x-C)) + D
Given that the amplitude A is 4, the midline D is 0, the period B is 8π, and there is no phase shift or horizontal shift, the equation becomes:
y = 4*sin((8π)(x - 0)) + 0
Simplifying further:
y = 4*sin(8πx)
Therefore, b = 8π.