Untitled

# Plot the function
plt.figure(figsize=(8, 6))
plt.plot(x, y, label='$y = x^2 + 4x + 3$')
plt.scatter([-2, 0, -1, -3], [-1, 3, 0, 0], color='red')  # Vertex, y-intercept, and x-intercepts
plt.text(-2, -1, 'Vertex (-2, -1)', fontsize=9, verticalalignment='bottom', horizontalalignment='right')
plt.text(0, 3, 'Y-intercept (0, 3)', fontsize=9, verticalalignment='bottom', horizontalalignment='right')
plt.text(-1, 0, 'X-intercept (-1, 0)', fontsize=9, verticalalignment='bottom', horizontalalignment='right')
plt.text(-3, 0, 'X-intercept (-3, 0)', fontsize=9, verticalalignment='bottom', horizontalalignment='right')
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.grid(color = 'gray', linestyle = '--', linewidth = 0.5)
plt.legend()
plt.title('Graph of $y = x^2 + 4x + 3$')
plt.xlabel('$x$')
plt.ylabel('$y$')
plt.ylim(-10, 10)
plt.xlim(-10, 10)
plt.show()