Question

Постройте график функции y = x + 2​

Answer 1

Ответ: на фотографии

Объяснение:

Answer 2

Plot of the Function y = x^2

To plot the function \( y = x^2 \), we can use the standard Cartesian coordinate system. The function \( y = x^2 \) is a parabola, and its graph is a U-shaped curve.

The graph of the function \( y = x^2 \) will have the following key points: - When x = 0, y = 0 - When x = 1, y = 1 - When x = -1, y = 1 - As x increases or decreases, y increases, forming a parabolic curve.

Let's plot the graph of the function \( y = x^2 \) to visualize it.

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-5, 5, 100)  # Generating 100 points between -5 and 5
y = x**2  # Calculating y for each x

plt.plot(x, y, label='$y = x^2$')  # Plotting the function
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of $y = x^2$')
plt.grid(True)
plt.legend()
plt.show()

The graph of the function \( y = x^2 \) is a U-shaped curve that opens upwards, with the vertex at the origin (0, 0). As x increases or decreases, y increases, forming a parabolic curve.

This graph visually represents the relationship between x and \( x^2 \), showing how the value of y changes as x varies.

Note: The specific coordinates of the points on the graph can be obtained by substituting different values of x into the function \( y = x^2 \).