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import numpy as np import matplotlib.pyplot as plt # Original parabola def original_parabola(x): return (8/25) * (x + 2.5)**2 + 1 # Inverse relation def inverse_relation(x): return np.sqrt((25/8) * (x - 1)) - 2.5 # Generate x values x_values = np.linspace(-10, 10, 400) # Plot the original parabola plt.plot(x_values, original_parabola(x_values), label='Original Parabola') # Plot the inverse relation plt.plot(x_values, inverse_relation(x_values), label='Inverse Relation') # Add labels and legend plt.xlabel('x') plt.ylabel('y') plt.title('Graph of Original Parabola and Its Inverse Relation') 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() # Show plot plt.show()
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