There are a few different ways that you can fade one side of an image in Photoshop. One way is to use the gradient tool.
To do this, first make sure that your foreground and background colors are set to black and white. Then, select the gradient tool from the toolbar and click and drag from the top left corner of the image to the bottom right corner. This will create a gradient that fades from black to white.
Another way to fade one side of an image is to use the levels tool. To do this, select the levels tool from the toolbar and then adjust the input levels until you get the desired effect.
Finally, you can also use the eraser tool to fade one side of an image. To do this, select the eraser tool and then adjust the brush size and opacity until you get the desired effect.
All of these methods will produce different results, so experiment with each one until you find the one that gives you the look you want.