import numpy as np import matplotlib.pyplot as plt

Define the functions

def linear_func(x): return -2 * x + 3

def quadratic_func(x): return -2 * (x - 4)**2

Generate x values

x_values = np.linspace(-2, 8, 400)

Calculate y values for both functions

y_linear = linear_func(x_values) y_quadratic = quadratic_func(x_values)

Plot the functions

plt.figure(figsize=(8, 6)) plt.plot(x_values, y_linear, label=r'$y=-2x+3$', color='blue') plt.plot(x_values, y_quadratic, label=r'$y=-2(x-4)^2$', color='red')

Find intersection points

from sympy import symbols