[Python] Is there a way in which a polynomial equation can be graphed via the input()?

I started learning Python a few months back (in 11th grade), and decided to test my knowledge by creating a miniature Graphing Calculator in Python. Using matplotlib.pyplot, I was able to graph basic trigonometric functions like sin(), cos() and tan(). I now wanted the user to enter a polynomial equation y(x), and then display the graph of the equation, but I am getting a Type Error.

import matplotlib.pyplot as plt
import numpy as np

x = np.arange(-10, 10, 0.1)
y = input("Enter polynomial equation in terms of y\ny = ")
plt.plot(x, y)
plt.show()

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