In the controller as an example ImageUploadController.php,

in function you can upload images in 2 ways,

$fileName = 'image_'.time()."_".$request->file('image')->getClientOriginalName();

// One -------------------------------------------------------
Storage::disk('public')->put('image/'.$fileName , file_get_contents($request->file('image')));
// For S3
Storage::disk('s3')->put('image/'.$fileName , file_get_contents($request->file('image')));

// Two -------------------------------------------------------
$request->file('image')->storeAs('image/category/',  $fileName,  'public')
// For S3
$request->file('image')->storeAs('image/category/',  $fileName,  's3')