Question

Постройте график функции y= 1/3 x^2 + 5

Answer 1

Смотри в прикрепленном файле

Answer 2

Plotting the Function y = (1/3)x^2 + 5

To plot the function y = (1/3)x^2 + 5, we can create a graph by assigning different values to x and calculating the corresponding values of y. Let's plot the graph using a range of x values.

First, let's define the function in Python:

import numpy as np
import matplotlib.pyplot as plt

def f(x):
    return (1/3) * x**2 + 5

Next, we can generate a range of x values and calculate the corresponding y values using the function `f(x)`:

x = np.linspace(-10, 10, 100)  # Generate 100 x values from -10 to 10
y = f(x)  # Calculate the corresponding y values

Finally, we can plot the graph using the `plot()` function from the `matplotlib.pyplot` module:

plt.plot(x, y)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = (1/3)x^2 + 5')
plt.grid(True)
plt.show()

The resulting graph will show the relationship between x and y values for the given function.

Graph of y = (1/3)x^2 + 5


The graph is a parabola that opens upwards. The vertex of the parabola is at the point (0, 5), and the parabola gets wider as x moves away from the vertex. The y-intercept of the graph is at the point (0, 5), and there are no x-intercepts.

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