Question

Постройте график функций y=(x-2)²+3

Answer 1

Http://easyto.me/services/graphic/

Answer 2

Plot of the Function y = (x-2)² + 3

To plot the function y = (x-2)² + 3, we can start by creating a table of values for x and calculating the corresponding values of y. Let's choose a range of x values and calculate the corresponding y values:

| x | y = (x-2)² + 3 | |---|----------------| | -2 | 7 | | -1 | 4 | | 0 | 3 | | 1 | 4 | | 2 | 7 | | 3 | 12 | | 4 | 19 |

Now, let's plot these points on a graph:

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-2, 4, 100)
y = (x-2)**2 + 3

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = (x-2)² + 3')
plt.grid(True)
plt.show()

The graph of the function y = (x-2)² + 3 will be a parabola that opens upwards. The vertex of the parabola is located at the point (2, 3), and the axis of symmetry is the vertical line x = 2. The graph will pass through the points (-2, 7) and (4, 19), and it will be symmetric with respect to the axis of symmetry.

I hope this helps! Let me know if you have any further questions.