based on files used in video https://www.youtube.com/watch?v=YazmkZszq5c&t=624s

docker-compose.yml

mysql:
  image: mysql
  container_name: database
  ports:
    - 3306:3306
  environment:
    MYSQL_DATABASE: laravel
    MYSQL_ROOT_PASSWORD: 123456

php:
  image: php:fpm-alpine
  container_name: php
  volumes:
    - .:/var/www/laravel
  entrypoint:
    - php-fpm

nginx:
  image: nginx:alpine
  container_name: nginx
  volumes_from:
    - php
  volumes:
    - ./build/nginx.conf:/etc/nginx/conf.d/default.conf
  links:
    - php
  ports:
    - 8080:80

nginx.conf

server {
    listen 80;

    root /var/www/laravel/public;
    index index.php index.html index.htm;

    server_name laravel.dev;

    location / {
        sendfile off;
        try_files $uri $uri/ /index.php?$query_string;
    }

    location ~ \.php$ {
        try_files $uri /index.php =404;
        fastcgi_split_path_info  ^(.+\.php)(/.+)$;
        fastcgi_pass php:9000;
        fastcgi_index index.php;
        fastcgi_param SCRIPTFILENAME $document_root$fastcgi_script_name;
        include fastcgi_params;
    }
}

uhm... that video is using old docker syntax ... you`d better catch up the new syntax before it becomes too complicated to understand. they constantly add new stuff...