Post to wall

To be able to post to users wall you need to add "publish_stream" to the requested scope

<?php
   $facebook = $hybridauth->authenticate( "Facebook" );

   $facebook->api()->api("/me/feed", "post", array(
      "message" => "Hi there",
      "picture" => "http://www.mywebsite.com/path/to/an/image.jpg",
      "link"    => "http://www.mywebsite.com/path/to/a/page/",
      "name"    => "My page name",
      "caption" => "And caption"
   ));

Post to pages

To be able to manage users accounts you need to add "manage_pages" to the requested scope

<?php
   $facebook = $hybridauth->authenticate( "Facebook" );

   // ask facebook api for the user accounts
   $accounts = $facebook->api()->api('/me/accounts');

   // post "hello word!" to every pages for the current user
   foreach( $accounts['data'] as $account ){
      $params = array(
        'access_token' => $account['access_token'],
        'message' => "hello word!"
      );

      // ask facebook api to post the message to the selected account
      $facebook->api()->api( "/" . $account['id'] . "/feed", 'POST', $params );
   }

Evaluates an FQL (Facebook Query Language) query
<?php
  $facebook = $hybridauth->authenticate( "Facebook" );

  $response = $facebook->api()->api(array(
    'method' => 'fql.query',
    'query' => "select name from profile where id=me()",
  ));

  print_r( $response );
Array
(
    [0] => Array
        (
            [name] => Hybrid Auth
        )
)

Access Facebook Insights data

To read insights you need to add "read_insights" to the requested scope

<?php
  $facebook = $hybridauth->authenticate( "Facebook" );

  $response = $facebook->api()->api(array(
    'method' => 'fql.query',
    'query' => "SELECT metric, value FROM insights WHERE object_id=2439131959 AND metric='application_active_users' AND end_time=end_time_date('2011-06-26') AND period=period('month')",
  ));

  print_r( $response );
Array
(
    [0] => Array
        (
            [metric] => application_active_users
            [value] => 955848
        )
)