Plot Implicit Equations In Python 3

I need to draw some curves in Python3 (I am quite used to matplotlib.pyplot) but I have never drawn such things before and I would really appreciate some tips (especially tips how

Solution 1:

According to the equation you show you want to plot an implicit function, you should use contour considering F = x^2 and G = 1-(5y/4-sqrt[|x|])^2, then F-G = 0

import matplotlib.pyplot as plt
import numpy as np

delta = 0.025
xrange = np.arange(-2, 2, delta)
yrange = np.arange(-2, 2, delta)
X, Y = np.meshgrid(xrange,yrange)

# F is one side of the equation, G is the other
F = X**2
G = 1- (5*Y/4 - np.sqrt(np.abs(X)))**2
plt.contour((F - G), [0])
plt.show()

Output: