The equation to be graphed is:\[ y = \frac{2}{5} \sec \left( \frac{1}{2}x - \frac{\pi}{4} \right) \]Graph Explanation:- **Axes**: The graph has horizontal and vertical axes labeled as \(x\) and \(y\) respectively. The axes are marked with evenly spaced tick marks to aid in plotting.- **Grid**: There is a dot grid on the graph to assist with plotting points and visualize the behavior of the function more easily.- **Function Characteristics**: - The function involves the secant (\(\sec\)) function, which is the reciprocal of the cosine function. - The expression inside the secant function includes a transformation that involves a horizontal scaling by \(\frac{1}{2}\) and a phase shift of \(-\frac{\pi}{4}\). - The amplitude is affected by the factor \(\frac{2}{5}\), which vertically compresses the graph of the secant function.This example demonstrates how to plot trigonometric functions and understand transformations such as stretching, shifting, and scaling.

Name: The equation to be graphed is:\[ y = \frac{2}{5} \sec \left( \frac{1}
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: The equation to be graphed is:\[ y = \frac{2}{5} \sec \left( \frac{1}{2}x - \frac{\pi}{4} \right) \]Graph Explanation:- **Axes**: The graph has horizontal and vertical axes labeled as \(x\) and \(y\) respectively. The axes are marked with evenly spa