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import numpy as np
import matplotlib.pyplot as plt

# Define the function
def f(x):
    return 2 * np.sin(x + np.pi/2) + 1

    # Generate x values
    x = np.linspace(-2*np.pi, 2*np.pi, 1000)

    # Generate y values
    y = f(x)

    # Plot the graph
    plt.plot(x, y, label=r'$f(x) = 2 \cdot \sin\left(x + \frac{\pi}{2}\right) + 1$')
    plt.title("Trigonometric Function Graph")
    plt.xlabel("x")
    plt.ylabel("f(x)")
    plt.grid(True)
    plt.axhline(0, color='black', linewidth=0.5)
    plt.axvline(0, color='black', linewidth=0.5)
    plt.legend()
    plt.show()