Before we dig in, I must briefly describe the state of JavaScript, aka ECMAScript, aka ECMA-262.

Two versions of JavaScript are in wide use today. ECMA-262, 3rd edition (commonly known as ES3) was standardized in 1999 and is supported by pretty much anything that claims to support JavaScript. ECMA-262, 5th edition (commonly known as ES5) is a slightly more modern language that, while common among the latest web browsers, is not ubiquitous. Note that ECMA-262, 5.1 edition, is a bugfix release of the ES5 standard.

The ECMA-262 standards are quite approachable and freely available online.

(This is a tangent but it's cool. You should know the test262 project provides an ES5.1 conformance suite, and it appears that IE10 is the most compliant implementation at this time.)

On to the topic at hand, which is the behavior of JavaScript's new operator and why you might want a JavaScript implementation of it.

Open the ES5 spec and examine section 11.2.2. You can disregard the fact that there are two versions of the new operator: the specification distinguishes between new X and new X.Y(Z).

The key point is that new evaluates its argument expression, which must result in an Object, and calls said object's internal [[Construct]] method. Only Function objects have a [[Construct]] method, and its behavior is precisely defined in section 13.2.2.

I will demonstrate a JavaScript function that implements new. The first argument is the constructor.

function new_(T) {
    if (!(T instanceof Function)) {
        throw new TypeError(T + ' is not a constructor');
    }
    var proto = T.prototype;
    if (!(proto instanceof Object)) {
        proto = Object.prototype;
    }
    var obj = Object.create(proto);
    var result = T.apply(obj, [].slice.call(arguments, 1));
    return (result instanceof Object) ? result : obj;
}

Why is such a function useful?

First, and primarily, new_ can take a variable list of arguments, via new_.apply. That can't be done with the traditional new operator.

Secondly, new_ can be bound to produce factory functions. Let's say you have a constructor SomeClass. You can create a SomeClass factory as such:

var SomeClassFactory = new_.bind(undefined, SomeClass);
var instance = SomeClassFactory();
(instance instanceof SomeClass); // true

Thirdly, new_ illustrates some non-intuitive behavors of the new operator. For example, the created object's prototype is set to Object.prototype if the constructor's prototype is not an object. Consider:

function foo() {}
foo.prototype = null;
var instance = new foo;
Object.getPrototypeOf(instance) === Object.prototype; // true

A lesser-known behavior is that constructors can themselves return values. If the value returned is an Object (remember that Functions are Objects too), new returns it instead of the object passed to the constructor as this. For example:

function Wooo() { return Wooo; }
Wooo === new new new new new new new new Wooo; // true

I don't recommend it, but this technique could be used to write constructors that behave identically whether they are called directly or as a constructor:

function Flexible(arg) {
    var this_ = Object.create(Flexible.prototype);
    this_.arg = arg;
    return this_;
}
Flexible.prototype.method = function() {
    return this.arg;
}

var a = Flexible('success');
var b = new Flexible('success');
'success' === a.method(); // true
'success' === b.method(); // true

I hope that you've learned something about JavaScript's new operator. Before sending you on your way, I'd like to point out that Object.create is an ES5 method and thus unsupported in ES3 implementations. So could we write an implementation of new_ that runs in old browsers by avoiding Object.create?

Object.create is effectively a primitive operation on which the new operator is built. And indeed, we can bypass the need for Object.create by using some of new's behavior to create an object with a specified prototype. Here is the ES3 version of new_:

function new_(T) {
    if (!(T instanceof Function)) {
        throw new TypeError(T + ' is not a constructor');
    }
    var proto = T.prototype;
    if (!(proto instanceof Object)) {
        proto = Object.prototype;
    }
    function dummy() {}
    dummy.prototype = proto;
    var obj = new dummy; // Object.getPrototypeOf(obj) === proto
    var result = T.apply(obj, [].slice.call(arguments, 1));
    return (result instanceof Object) ? result : obj;
}