How to display image with JavaScript?

You could make use of the Javascript DOM API. In particular, look at the createElement() method.

You could create a re-usable function that will create an image like so...

function show_image(src, width, height, alt) {
    var img = document.createElement("img");
    img.src = src;
    img.width = width;
    img.height = height;
    img.alt = alt;

    // This next line will just add it to the <body> tag
    document.body.appendChild(img);
}

Then you could use it like this...

<button onclick=
    "show_image('http://google.com/images/logo.gif', 
                 276, 
                 110, 
                 'Google Logo');">Add Google Logo</button> 

See a working example on jsFiddle: http://jsfiddle.net/Bc6Et/