### Graphs of Trigonometric FunctionsThree graphs are given below. Each graph corresponds to one of the following equations:\[y = 2 + \csc x \]\[y = \sec \left( x + \frac{\pi}{4} \right) \]\[y = -\cot x \]\[y = \sec x \]\[y = \cot \left( x - \frac{\pi}{4} \right) \]\[y = \tan x \]Analyze each graph and choose the appropriate equation from the list provided.**Graph Analysis**#### First GraphThe first graph shows a periodic function with vertical asymptotes at intervals of \(\pi\). The graph has a maximum value at \(y = 2\) units above the x-axis and dips down sharply as it approaches the asymptotes.**- Equation:** \( y = 2 + \csc x \)#### Second GraphThe second graph demonstrates a function with vertical asymptotes repeating at \(\pi\) intervals. The graph pattern suggests that it's a secant function but shifted horizontally.**- Equation:** \( y = \sec \left( x + \frac{\pi}{4} \right) \)#### Third GraphThe third graph displays a periodic function also with vertical asymptotes. The pattern and symmetry indicate it represents a cotangent function.**- Equation:** \(y = -\cot x\)### ConclusionEach graph corresponds to one of the trigonometric equations given. The equations matched to the graphs are as follows:1. \( y = 2 + \csc x \)2. \( y = \sec \left( x + \frac{\pi}{4} \right) \)3. \( y = -\cot x\)By analyzing the periodicity, asymptotes, and other characteristics, we can match each function to its graphical representation.

Name: ### Graphs of Trigonometric FunctionsThree graphs are given below. Ea
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: ### Graphs of Trigonometric FunctionsThree graphs are given below. Each graph corresponds to one of the following equations:\[y = 2 + \csc x \]\[y = \sec \left( x + \frac{\pi}{4} \right) \]\[y = -\cot x \]\[y = \sec x \]\[y = \cot \left( x - \frac{\