Question

Y=x^2+x+1 .построить график функции

Answer 1

Вершина(-1;1) т.е от этой точки парабола поднимается вверх

Answer 2

Plotting the Function y=x^2+x+1

To plot the function y=x^2+x+1, we can use its mathematical expression to generate a graph that represents the relationship between the input values (x) and the output values (y).

The function y=x^2+x+1 is a quadratic function, which means its graph will be a parabola. The coefficient of x^2 is positive, indicating that the parabola will open upwards.

Graphical Representation

Let's plot the graph of the function y=x^2+x+1:

import matplotlib.pyplot as plt
import numpy as np

# Define the function
def f(x):
    return x**2 + x + 1

# Generate x values
x = np.linspace(-10, 10, 400)

# Generate y values
y = f(x)

# Plot the graph
plt.figure(figsize=(8, 6))
plt.plot(x, y, label='y=x^2+x+1')
plt.title('Graph of y=x^2+x+1')
plt.xlabel('x')
plt.ylabel('y')
plt.grid(True)
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.legend()
plt.show()

This code will generate a graph that represents the function y=x^2+x+1. The x values range from -10 to 10, and the corresponding y values are calculated using the function f(x). The resulting plot will show the parabolic shape of the function.

I hope this helps! Let me know if you have further questions or if there's anything else I can assist you with.