### Graphing Trigonometric Functions**Equation:**\[ y = -\frac{3}{4} \cos \left( x - \frac{\pi}{3} \right) \]**Graph Explanation:**- **Axes:** The graph is plotted on a standard Cartesian coordinate plane with the x-axis and y-axis intersecting at the origin (0,0).- **X-Axis:** This represents the input variable \( x \), typically measured in radians for trigonometric functions.- **Y-Axis:** This shows the output value \( y \) of the function at corresponding \( x \) values.**Function Properties:**- **Amplitude:** The amplitude of the cosine function is \(\frac{3}{4}\), as indicated by the coefficient in front of the cosine. This affects the vertical stretch of the graph.- **Reflection:** The negative sign in front of the amplitude reflects the graph across the x-axis.- **Phase Shift:** The term \(\frac{\pi}{3}\) inside the cosine function indicates a phase shift to the right by \(\frac{\pi}{3}\) units.- **Period:** The period of a standard cosine function is \(2\pi\), and since there is no horizontal stretch/compression factor directly multiplying \(x\), the period remains \(2\pi\).This description explains the key features and transformations affecting the graph of this trigonometric function. The empty plot is prepared to graph the function based on these features.

Name: ### Graphing Trigonometric Functions**Equation:**\[ y = -\frac{3}{4}
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: ### Graphing Trigonometric Functions**Equation:**\[ y = -\frac{3}{4} \cos \left( x - \frac{\pi}{3} \right) \]**Graph Explanation:**- **Axes:** The graph is plotted on a standard Cartesian coordinate plane with the x-axis and y-axis intersecting at t