Q:

45 POINTS! HELP ASAP AND ILL MARK AS BRAINLIEST! What are the amplitude, period, and midline of the function? (1 point)Amplitude: 8; period: π; midline: y = 1Amplitude: 8; period: 2π; midline: y = 5Amplitude: 4; period: 2π; midline: y = 5Amplitude: 2; period: π; midline: y = 1

Accepted Solution

A:
Amplitude = 2; period T = π; midline y = 1.This sinusoidal wave is a even function which means that it has a positive half-cycle and a negative half-circle of equal size, from the image we can see that the midline is y = 1 which is the point where the function is centered. The amplitude is the measure from the midline to the positive half-cycle, and the midline to the negative half-cycle which is 2.The period corresponds to a complete cycle of the function or the repetition of the wave seen from a point. In this case, we can see that the wave, starting from π/2 it repeat in 3π/2. So, to calculate the period just substract 3π/2 by π/2T = 3π/2 - π/2 = (3π - π)/2T = 2π/2T = π