Calculating moving averages for stock prices, visualizing

Suppose you are given the following dataset containing closing prices of a stock across a number of days:

	day	price
0	1	119
1	2	146
2	3	147
3	4	119
4	5	102
5	6	124
6	7	148
7	8	140
8	9	133
9	10	153
10	11	155
11	12	162
12	13	150
13	14	171
14	15	167

Using this dataset, add a column with the 3 and 5-day moving averages for the closing prices. Then, visualize the output with a line chart.

To help get you started, here is code to load the same dataset into a Pandas dataframe:

#code to generate example dataframe
import pandas as pd
raw_data = {'day': [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15], 
        'price': [119, 146, 147, 119, 102, 124, 148, 140, 133, 153, 155, 162, 150, 171, 167]
        }
df = pd.DataFrame(raw_data, columns = ['day', 'price'])