wordpress rest api v2 how to list taxonomy terms?

end out to write the custom code here

add blow code to functions.php

  class all_terms
{
    public function __construct()
    {
        $version = '2';
        $namespace = 'wp/v' . $version;
        $base = 'all-terms';
        register_rest_route($namespace, '/' . $base, array(
            'methods' => 'GET',
            'callback' => array($this, 'get_all_terms'),
        ));
    }

    public function get_all_terms($object)
    {
        $return = array();
        // $return['categories'] = get_terms('category');
 //        $return['tags'] = get_terms('post_tag');
        // Get taxonomies
        $args = array(
            'public' => true,
            '_builtin' => false
        );
        $output = 'names'; // or objects
        $operator = 'and'; // 'and' or 'or'
        $taxonomies = get_taxonomies($args, $output, $operator);
        foreach ($taxonomies as $key => $taxonomy_name) {
            if($taxonomy_name = $_GET['term']){
            $return = get_terms($taxonomy_name);
        }
        }
        return new WP_REST_Response($return, 200);
    }
}

add_action('rest_api_init', function () {
    $all_terms = new all_terms;
});

and enter url http://youdomain.com/wp-json/wp/v2/all-terms?term=you_taxonomy

so term = you_taxonomy, will get terms belong to job_category.

For custom taxonomies, be sure that you're setting the 'show_in_rest' argument to be true (default is false) in your register_taxonomy() call.

The register_taxonomy() call is also where you can set the 'rest_base' argument (default will be the taxonomy name, /location_category/ in your example).

Taxonomy terms are simply called this way:

https://yoursite.com/wp-json/wp/v2/the-taxonomy-slug

For instance, to answer your question:

https://yoursite.com/wp-json/wp/v2/location_category

From terminal:

curl -X GET -i http://www.example.com/wp-json/wp/v2/location_category