identify the following using the graph.\nperiod: √ pi\nfrequency: √ 1/pi\nfrequency factor: b = 2…

Answer:

y = cos(2x)

Explanation:

Step1: Recall general form

The general form of a trig - function is y = A sin(bx - c)+d or y = A cos(bx - c)+d. The period T of a trig - function is given by T=$\frac{2\pi}{|b|}$. We know T = $\pi$ and since T=$\frac{2\pi}{|b|}$, then $\pi=\frac{2\pi}{|b|}$, solving for b gives |b| = 2.

Step2: Check y - intercept

For y = cos(2x), when x = 0, y=cos(0)=1. For y = sin(2x), when x = 0, y = sin(0)=0. The graph has a y - intercept of 1. So the function is y = cos(2x).