Write the equation of the trigonometric graph. Amplitude is 4, Midline is 1, Period is 5 pi. No phase or horizontal shifts.
The equation of the trigonometric graph with an amplitude of 4, a midline of 1, a period of 5π, no phase shift, and no horizontal shift can be written as:
y = A * sin(Bx) + C
where A represents the amplitude, B represents the reciprocal of the period (2π divided by the period), and C represents the midline.
In this case, A = 4, B = 1 / (5π), and C = 1. Plugging these values into the equation, we get:
y = 4 * sin((1 / (5π))x) + 1
Therefore, the equation of the trigonometric graph is:
y = 4 * sin((1 / (5π))x) + 1